From his eye, which stands 1.62 meters above the ground, Amadou measures the
angle of elevation to the top of a prominent skyscraper to be 44°. If he is standing at a
horizontal distance of 164 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

Answer 1

The height  of the skyscraper rounded to the nearest tenth of a meter is

160.0 meters.

The situation will form a right angle triangle.

The angle of elevation is 44 degrees. The horizontal distance of 164

meters from the base of the skyscraper is the adjacent side of the triangle.

Part of the height of the skyscraper is the opposite side of the triangle formed .

Using trigonometric ratio,

tan 44° = opposite / adjacent

tan 44° = h / 164

cross multiply

h = 164 × tan 44°

h = 158.372959068

Recall the angle of elevation was form from his eyes above the ground of

1.62 meters.

Therefore, the height of the skyscraper can be calculated below:

height of the skyscraper = 158.372959068 + 1.62 = 159.992959068

height of the skyscraper ≈ 160.0 meters

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Related Questions

Martin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.

Which number line shows the number of cartridges Martin can buy?

Answers

Answer: C

Step-by-step explanation:

lets think about it

you can totally buy 0 ink cartridges. you can just be like "nope ok im gone, no ink today, the prices are so high.. maybe another time. maybe ill use the school printer or smth"

so that ELIMINATES B.

and now A and D are strange because how exactly are we going to buy half of an ink cartridge? or a fraction of an ink cartridge? that simply isnt feasible

so this eliminates A and D

now C is the best because you can buy 0, 1, 2, 3, 4 ink cartridges. but not 5 because that is $110 and Martin dont got that money, am i right fellas?

Answer:

The Answer Is C

Step-by-step explanation:

someone help me on these 2 questions asap! 50 points!!

Answers

Step-by-step explanation:

earbuds

we have a 1in : 0.2in scale of drawing to reality.

0.2 = 2/10 = 1/5

so, 1in in the drawing is actually 1/5in in reality.

how long are the 4in in the drawing ?

well, 4 times the 1in thing.

4×1/5 = 4/5 = 0.8in long

again the similar triangles

similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.

so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?

27 × x = 9

x = 9/27 = 1/3

and that is the scale factor.

Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation

Answers

Answer:

D- A POSITIVE CORRELATION

D.. A POSITIVE CORRELATION

Please helpppp me step my step all the wayyy
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?

SOMEONE PLEASE HELPPPPPP MEEEEE
THIS IS DUEEEE RIGHT NOWWW
WITH ALL THE WORK I TRIED ALL NIGHT PLEASEEEEEEE

Answers

Answer:

carlas had the better deal

Step-by-step explanation:

if you buy an suitcase at $85 with 20% discount, you will pay 85 - 17 = 68 dollars.

if you buy an suitcase at $75 with 15% discount, you will pay 75 - 11.25 = 63.75

divide 20% by a 100 =0.2 than times 0.2 by $85 which will equal 17 subtract 17 from $85

do the same for the second one.

500 children ages 5-11 were asked the following question:



"Do you read books for fun every day?"


Results are shown in the two-way table below.





Boy Girl Total
Yes 48 75
No 182 195
Total 500




a. In this sample, what proportion of children are boys? (Round your answer to the nearest hundredth)


b. What proportion of boys read books for fun every day? (Round your answer to the nearest hundredth)


c. What proportion of girls read books for fun every day? (Round your answer to the nearest hundredth)


d. Based on the findings, does the likelihood of reading books for fun depend on the gender of a child? Explain.


e. If a child is selected at random, find the probability that the child reads book for fun. (Round your answer to the nearest hundredth)


f. If a child is selected at random, find the probability that the child is a girl AND reads book for fun. (Round your answer to the nearest hundredth)


g. If a child is selected at random, find the probability that the child is a girl OR reads book for fun. (Round your answer to the nearest hundredth)


h. If a child is selected at random, find the probability that the child reads book for fun GIVEN that the child is a girl. (Round your answer to the nearest hundredth)

Answers

a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.

500 children ages 5-11 were asked the following question:

"Do you read books for fun every day?"

Results are shown in the two-way table below.

             Boy    Girl     Total

Yes         48      75       123

No          182     195     377

Total      230    270     500

What are proportions?

A proportion is the number of desired outcomes divided by the number of total outcomes.

a. Proportion of children that are boys.

There are 500 children and 230 are boys.

230/500 = 0.46

b. Proportion of boys who read books for fun every day.

There are 230 boys and 48 read books for fun every day.

48/230 = 0.21

c. Proportion of girls who read books for fun every day.

There are 270 girls and 75 read books for fun every day.

75/270 = 0.28

d. Does the likelihood of reading books for fun depend on the gender of a child?

Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.

e. For a child selected at random, what is the probability that the child reads books for fun?

There are 500 children and 123 read books for fun.

P = 123/500 = 0.25

f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?

There are 500 children and 75 are girls who read books for fun.

P = 75/500 = 0.15

g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?

There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).

P = (270 + 123 - 75)/500 = 0.64

h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.

There are 270 girls and 75 of them read books for fun.

P = 75/270 = 0.28

a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.

Learn more about proportions here: https://brainly.com/question/25259185

50 Points! Please only answer if you know! Thank you.

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.

Answers

Answer:

See below

Step-by-step explanation:

A) 3x - 9y > 27

x- intercept at y = 0 is:

3x = 27x = 9

y-intercept at x = 0 is:

- 9y = 27y = -3

Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).

B)  (y-3) ≤ -4/3 (x+7)

Use one point from the equation:

(-7, 3)

Find the second point using the slope - 4/3, add 3 to x and - 4 to y:

x = -7 + 3 = - 4y = 3 - 4 = - 1

Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).

Shade the area below the line (because y ≤ ).

2 1/4 x 3 1/5 i need help

Answers

Answer:

7 1/5

Step-by-step explanation:

2 1/4 * 3 1/5

Change to improper fractions

2 1/4 = (4*2+1)/4 = 9/4

3 1/5 = (5*3+1)/5 = 16/5

9/4 * 16/5

Rewriting

9/5 * 16/4

9/5 * 4/1

36/5

Change back to a mixed number

7 1/5

Consider the following equation:

5x+4y=−3
Determine if the given ordered pair, (1,−2), satisfies the given equation
yes or no

Answers

Answer:

(1, - 2 ) is a solution

Step-by-step explanation:

Substitute the coordinates into the left side and if equal to the right side then the ordered pair is a solution.

5(1) + 4(- 2) = 5 + (- 8) = 5 - 8 = - 3 = right- side

Then (1, - 2 ) is a solution of the equation

Pls help me with these Worksheets :(
My brain cells aren't working lol



(AGAIN IF YOU DON'T KNOW THE ANSWERS PLS JUST IGNORE THIS!)

Answers

Answer:

I'm sorry. It's messy ik.

For number 5 that I haven't done, I don't get the answer :((( so...

But basically, the speed is found by multiplying the distance and time. The distance is the same either you go upstream or downstream. Hope it help!

Answer:

Step-by-step explanation:

I'll do #5 second page

let (v) be rowing velocity in still water

let (s) be the stream velocity

d = vt

going downstream

24 = (v + s)4

24 = 4v + 4s

4s = 24 - 4v

s = 6 - v

going upstream

24 = (v - s)6

24 = 6v - 6s

24 = 6v - 6(6 - v)

24 = 6v - 36 + 6v

60 = 12v

v = 5 km/hr

s = 6 - 5 = 1 km/hr

     

A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.

Answers

Answer:

4 Meters

Step-by-step explanation:

Formula

divide the length value by 10

Two numbers are in the ratio 7:10 If the larger number is 140,what is the smaller number ​

Answers

Given that nos. are in ratio 7:10

The larger no. is 140

Let the smaller no. be x

Using ratio and proportion

7 : 10 :: x : 140

⇒10 × x = 140 × 7

[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]

- BRAINLIEST ANSWERER

Answer:

[tex] \frac{7}{10 } = \frac{x}{140} [/tex]

[tex] \frac{7 \times 140}{10 \times x} [/tex]

[tex] \frac{980}{10} [/tex]

[tex]98[/tex]

ANSWER IS 98

98 IS THE SMALLEST NUMBER

the book is sold for 5.4 dollars at a profit of 8% on the cost price what was the cost price
please help

Answers

Answer:

5.4*0.08=0.432 or

43 cents

Hope This Helps!!!


Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.

Answers

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

Can someone please help me with this? I will give brainlist :(

Answers

Answer:

2nd

Step-by-step explanation:

The second one

I 13.12.21 Mather asianmen I choose the best answert the next two numbers in the pattern 1, 4, 9, 16 are. (A) 26,36 (B) 25, 36 (C) 24,35 (D) 36,48​

Answers

Answer:

(B) 25, 36

Step-by-step explanation:

1 = 1²

4 = 2²

9 = 3²

16 = 4²

25 = 5²

35 = 6²

Find the slope and y-Intercept of the line in the graph. Drag and drop each number into the correct box
to complete the statement.
7
(0,5)
4 3
2
1
0
(3,-1)
-1
-2
3
TO
de
8 7
0 1 2
55
The slope is m
and they-intercept is b =

Answers

Answer:

slope = - 2, y- intercept = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = [tex]\frac{-1-5}{3-0}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

The y- intercept is the point on the y- axis where the line crosses

The y- intercept = 5

[tex]x^{2}[/tex] = 6

Answers

Answer:

Take the root of both sides and solve.

[tex]x = \sqrt{6} , - \sqrt{6} [/tex]

Answer:

Take the root of both sides and solve:

[tex]x = \sqrt{6}, - \sqrt{6} [/tex]

4) A teacher has an annual income of $51,750. The income tax the teacher has to pay is 7%. What is the amount of income tax in dollar and cents the teacher has to pay?
A) $3,448.25
B) $3,622.50
C) $3,891.10
D) $3,933.01

Answers

9514 1404 393

Answer:

  B)  $3,622.50

Step-by-step explanation:

To find the tax, multiply the income by the tax rate:

  $51,750 × 0.07 = $3,622.50

in
given points.
1. (10,4), (4, 15)
Find the slope of the line.

Answers

Answer:

[tex]m = -\frac{11}{6}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}[/tex]

Hope this helps.

The cost of producing key chains with the company logo printed on them consists
of a onetime setup fee of $265.00 plus $0.90 for each key chain produced. This
cost can be calculated using the formula C = 265.00 +0.90p, where p represents
the number of key chains produced and C is the cost. Use the formula to calculate
the cost of producing 2700 key chains.

Answers

Answer:

$2695

Step-by-step explanation:

$265 + $0.90p=C

To find out the value of C (cost), we must solve the equation by replacing P (number of keychains) with the given value, 2700.

265 + 0.90(2700) = C

Now, we use order of operations. (PEMDAS)

In this case, the parentheses stand for multiplication. Since multiplication comes first, we multiply 0.90 by 2700.

The product of 0.90(2700) is 2430.

Our new equation should look like this

265 + 2430=C

Adding those together you get 2695, to finish this off, C=$2695

(Side note: be sure to identify what the value is, for example 2695 is the cost of producing 2700 key chains, meaning it's $)

I hope this made sense and helped lol

Determine whether the ratios 8:7 and 15:14 are equivalent

Answers

Answer:

They are not

Step-by-step explanation:

    We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:

15:14

\/

7.5:7 ≠ 8:7

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

help !! giving brainliest.

Answers

Answer:

i guess the 2nd one

.

.........

i need help on this math problem

Answers

Answer:

Natalie pays $9 every week.

d = 9w + 72

Step-by-step explanation:

Need help please to this question

Answers

Answer:

c

Step-by-step explanation:

x=slope

y=intercept

The slope is put in front of the x and then you would add the y intercept.

Answer: c. y = -3x + 4

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

solve using a system of equations. will mark brainliest for correct answer and working

Answers

Answer:

2 6/7 km/h

Step-by-step explanation:

t - time spent by boat, s - speed of the raft

time  = distance / speed

Equations:

t = 20 / 12t + 5 h 20 m = 20 / s

Time the patrol-boat spent:

t = 20/12 = 5/3 h

Time the raft spent:

5 h 20 min + t = 5 1/3  + 5/3 =16/3 + 5/3 =21/3 =7 hours

The speed of the raft:

7 = 20/ss = 20/7s = 2 6/7 km/h

Which relationship is represented by the graph?
Radius of a circle vs. its diameter
Circumference of a circle vs. its diameter
Area of a circle vs. its diameter
Explain your thinking.
This is because the diameter is independent towards the
unlabeled axis; just like how the circumference is depending on
the diameter.
>
What is the constant of proportionality?

Answers

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

let f be the function given by f(x)=sin x + e^-x +3x. which of the following statements is true for y=f(x).

Answers

Applying derivatives, it is found that the correct options are:

A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]

D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]

The function given is:

[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]

It's first four derivatives are:

[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]

[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]

Hence, option A is correct.

[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]

[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.

[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]

It is not the multiplication of the first and of the third derivative, hence option C is incorrect.

[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]

[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]

[tex]3x = 3x[/tex]

Hence, option D is correct.

A similar problem is given at https://brainly.com/question/17042788

Estimate each product 11.9×21=

Answers

Answer:

249.9

uhm.. correct me if im wrong

The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants?

Answers

Answer: C.

Step-by-step explanation:

Total number of plants in Robert's garden = 8 + 4 + 16 + 22

= 50

Number of tomato plants in Robert's garden = 8

Ratio of total number of plants to the number of tomato plants = 50 : 8

Simplify

50 : 8 = 25:4

how do you find the y intercept on a table

Answers

Answer:

y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.

Other Questions
PLSS HELP! BRAINLIST!! What are the similarities and differences between the Taliban and The Nazi party? Read the excerpt from the story Hayden and Henry Go to Camp:Hayden and Henry Holbrook were twins. People often think that identical twins are the same in every way, but this couldn't be further from the truth when it came to Hayden and Henry. The boys were exact opposites. Sure, they both had the same mane of golden, floppy curls, the same piercing, blue eyes, and the same cheeky smile, but that was where the similarities ended.Hayden was the brainy one; he was a walking encyclopedia. His main areas of expertise included computer coding, dinosaurs, and British folktales (Robin Hood was his favorite), but in general, he knew a lot about a lot of things. Hayden always had his nose in a book and loved to watch documentaries on the TV. He was painfully shy and hated being outdoors in nature. Henry, on the other hand, preferred joke books to informative ones. He was always clowning around and making others laugh. Henry had a real heart of gold and was always willing to help others. He also loved sports and was a champion swimmer.Select the detail that shows how the two brothers are similar. A Hayden was the brainy one; he was a walking encyclopedia.B Henry had a real heart of gold and was always willing to help others.C People often think that identical twins are the same in every way.D They both had the same mane of golden, floppy curls.Just to let you know cause I always get these. I don't open files so just say the answer here on brainly.Tysm and have a nice Day!!!!!! If two organisms of different species share more similar DNA sequences with each other than with other species, we can conclude that ________. What was the effect of the 1898 Supreme Court case Plessy v. Ferguson? Typhoons can occur because of_______. A. Changes in the seasonB. Ocean CurrentsC. Pollution D. All of the above Find the value of x and y and each labeledangle. Help me answer 5d, thank you! how do you solve this problem lol What is the main way a representative democracy differs from a direct democracy? ACitizens elect leaders who vote on the issues in a representative democracy, and citizens vote on the issues in a direct democracy. BA representative democracy is modern, and a direct democracy is ancient.C A representative democracy works better in small groups, and a direct democracy works better in large groups. DCitizens desires are ignored in a representative democracy, and citizens desires have a better chance of being heard in a direct democracy. A world-famous prix fixe menu includes the following choices.Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccinoFirst course (no choice): baguette, bruschetta, whole roasted garlic, and butterSecond course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine saladThird course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plateif you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onionsFourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tartHow many different choices are possible? Is -1/2 equivalent to - 1/2 Practice your speech. Indicate in the paragraph box the following information:DateTimeType of Delivery: audio recording, video recording, or live audienceIf recorded, the file name of the recording. If live audience, the name(s) of the audience members. what effect did the customs duties imposed by the navigation acts in the 1600s have on north america? ________ or hinted at but not actually expressed in words What would be the perfect title for this story? A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90 counterclockwise about the origin. What are the first roles of the image of the triangle? James bought a pound of chicken for $2.99, a pound of cheese for$5.99, and a bag of potatoes for $3.99. Find his total at checkout if the sales tax is 7% 2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest Would you rather the aliens that make first contact be robotic or organic? Can someone pls help me with this