From the observation deck of a skyscraper, Meena measures a 45 angle of
depression to a ship in the harbor below. If the observation deck is 862 feet high,
what is the horizontal distance from the base of the skyscraper out to the ship?
Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

Answer: 1145 ft

Step-by-step explanation:

tan 45=1145/x

x tan45/1=1145

x tan 45/ tan 45= 1145/ tan 45

x= 1145/ tan45= 1145... ≈1145

Answer 2

The horizontal distance from the base of the skyscraper will be "862 feet".

Given values are:

Angle of depression,

45°

Observation deck length,

914 feet high

As we know,

→ [tex]tan \theta = \frac{Opposite \ side}{Adjacent \ side}[/tex]

or,

→ [tex]tan 45^{\circ} = \frac{Observation \ deck \ length}{Horizontal \ distance}[/tex]

hence,

→ [tex]Horizontal \ distance = Observation \ deck \ length\times tan 45^{\circ}[/tex]

By substituting the given values, we get

→                                   [tex]= 862\times 1[/tex]

→                                   [tex]= 862 \ feet[/tex]

Thus the answer above is the correct one.

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From The Observation Deck Of A Skyscraper, Meena Measures A 45 Angle Ofdepression To A Ship In The Harbor

Related Questions

Someone please help asap!!! It’s due in 45 minutes, how am I supposed to know where to shade when doing these?

Answers

Answer:

If you want to know the process on how to graph and shade, start by graphing the inequalities. Assume that the inequality signs are just =, so the equation is y=mx+b. Let's use 1) as an example. When the sign is < or >, it's a dotted line. If the sign is ≥ or ≤, it's a solid line. Once you're done graphing the inequalities, choose a random coordinate on the graph. Let's use (0,0). Now, plug in the x- and y-value into the equations. 0<-6(0)+3 and 0≤0-2. Simplify it to get 0<3 and 0≤-2. Because the inequality is true for y<-6x+3, you would shade the side of the graph that includes (0,0). Because the inequality isn't true for y≤-x-2, you would shade the side of the graph that doesn't include (0,0). The shaded parts of both inequalities should overlap somewhere and that's the area you need to officially shade.

Here's the worked example:

If you are still confused, feel free to ask! :)

Eight increased by the product of a number and 6 is greater than -25.

Answers

8+6x>-25 is your answer

Select the correct answer.
Factor the polynomial below.
4.12
16
ОА.
4(x - 2)2
O B.
4(x + 2)(x - 2)
O c.
4(2 - x)2
4(2 + x)2 - x)

Answers

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

Answer:

4(x - 2)(x + 2)  (Answer B)

Step-by-step explanation:

4x^2 - 16 is the difference of two squares, a case in which there is a simple formula to remember:  a^2 - b^2 = (a - b)(a + b)

4x^2 - 16 = (2x - 4)(2x + 4)

This can be further simplified:  2(x - 2)(2)(x + 2) = 4(x - 2)(x + 2)  (Answer B)

Which equation is represented in standard form?
1 point
y = 3(x - 1)² + 9
y = 3x² - 7x +2
y = (x + 3)(2x -1)
y = (x - 3)²

Answers

Answer:

The second answer is in standard form of equation

Which equation is not a linear function?

Answers

Answer:

y = x³ is not a linear function.

Answer:

y = x³

Step-by-step explanation:

if it has a power it'll always be a curved graph

Can someone help me rnnn please??

Answers

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

An amount of 700 was invested at 7 percent for 7 months. What is the interest

Answers

Answer:

100

Step-by-step explanation:

700/7%

i think it’s 343. 7% of 700 is 49. so that means it’s 49 per month so 49 times 7 (7 months) is 343.

Find the missing side. Round
to the nearest tenth.

Answers

I’ve attached my work!
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you’ll make it thru

The missing sides of the right-angle triangle x and y will be 73.36 units and 46.16 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

Then the value of x will be

cos 39° = 57 / x

  0.777 = 57 / x

         x = 73.36

Then the value of y will be

tan 39° = y / 57

0.8097 = y / 57

         y = 46.16

More about the right-angle triangle link is given below.

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12 points help fast I need help

Answers

Answer:

False, False, True, True

Step-by-step explanation:

1

IQR'sRide A: 30 - 20 = 10Ride B: 30 - 10 = 20False, as 10 < 20

2

MediansRide A: 25Ride B: 20False, as 25 > 20

3

RangesRide A: 45 - 5 = 40Ride B: 35 - 0 = 35TRUE, as 40 > 35

4

MinimumRide A: 5Ride B: 0TRUE, as 0 < 5

mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.

what does mrs freeman pay for the meal

Answers

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

Natalia recorded daily visitors to her new website. The data for the first 9 days is shown below. 25, 31, 27, 33, 41, 39, 48, 46, 52 Natalia is curious to know the MAD and the IQR for her visitor data. Identify each of these two measures of variability for the data by dragging a number to each box.

Answers

Answer:

I believe

Mad-8

IQR- 18

Step-by-step explanation:

I don't know the explanation

The IQR of the data is 18 and MAD is 8.

What is Interquartile Range?

The interquartile range in descriptive statistics reveals the spread of your distribution's middle half. Any distribution that is sorted from low to high is divided into four equal portions using quartiles. The second and third quartiles, or the centre half of your data set, are contained in the interquartile range (IQR).

We have the data

25, 31, 27, 33, 41, 39, 48, 46, 52

Arranging the data

25, 27, 31, 33, 39, 41, 46, 48, 52

So, Q1 = (n+1)/4

Q1 = (9+1)/4

Q1 = 2.5

Q1 = 29

and, Q3 = 3/4(n+1)

Q3 = 3 (2.5)

Q3 = 47

So, IQR = Q3 - Q1 = 47-29 = 18

and, MAD = ( 13 + 11 + 7 + 5 + 1 + 3 + 8 + 10 + 14)/9

MAD = 8

Learn more about IQR here:

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2. The side lengths of a square measure 25.3 cm. Estimate the area of the
square.
about 25 sq. ft.
about 50 sq. ft.
about 500 sq. ft.
about 625 sq. ft

Answers

Answer:

625 sq ft.

Step-by-step explanation:

25 cm is close to 25.3 so our estimate is 25 * 25 = 625.

List of 7 consecutive composite numbers less than 100. ​

Answers

Answer:

4

6

8

9

10

12

14

Step-by-step explanation:

any number that is not a prime number

Answer:

2,3,4,5,6,7,8

Make me brainliesttt :))

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

2 2/5

Step-by-step explanation:

I'm not smart but you can trust me :)

Answer:

2 2/5 mph

Step-by-step explanation:

first of all chill out a little bit

second of all, multiply 4/5 by 3

4/5 × 3/1 = 12/5

now convert it to a mixed number

12/5 = 2 2/5 (because 5 goes i

so the answer is 2 2/5 mph

Need help asap! Please and thank you

Answers

Answer:

D

Step-by-step explanation:

The answer is D.

(Hope this helped)

Find the area of the polygon.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

what is the mode for the data set 67,73,78,71,80,74,79,76,75,70,72,​

Answers

Answer:

There is no mode.

Step-by-step explanation:

Mode is a number that appears in a data set multiple times and their are no two numbers here.

Answer:

0 mode .

Step-by-step explanation:

a mode is number that appears the mos in a given sequence

solve these equations, show all your work 7x=14

Answers

Answer:

x=2

divide everything by 7. 14/7= x=2

Step-by-step explanation:

Evaluate the function.
f(x) = -x2-12 find f(-3)

Answers

Your answer to this question is -21

Wendy divided 3/8 of a package of pencils among 3 people including herself. What fraction of the whole package of pencils will each person receive.

Answers

Answer:

Each person will get [tex]\frac{1}{8}[/tex] of the whole package of pencils.

Step-by-step explanation:

Since we know that 3/8 of the package was divided among 3 people we just have to divide 3/8 by 3 in order to find out what fraction of the whole package of pencils each person will receive. And so we get...

   [tex]\frac{3}{8}[/tex] ÷ 3 = [tex]\frac{1}{8}[/tex]

Therefore, each person will get 1/8 of the whole package of pencils.

WHAT HAPPENS WHEN NON-METALLIC ELEMENTS ARE COMBINED

Answers

When a nonmetal combines with another nonmetal , a covalent compound is formed

Need help solving this!

Answers

Answer:

A = 4πcm, 6πcm²

B = 45°, 35πcm²

C = 12m, 18.7πm or 19πm

Step-by-step explanation:

Formulas used...

Length of an arc of a sector = (¢/360)×2πr

Area of sector = (¢/360)×πr²

¢ means the angle given or used

You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?

Answers

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

For more references on unit rate, click;

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A bag has 2 red, 3 blue, and 5 green marbles. A marble is randomly drawn from the bag. Select all the correct probabilities.
A. P(red) = 14
B. P(blue or green) = 37
C. P(green) = 12
D. P(not red) = 45
E. P(not green) = P(green)

Answers

Answer:

I think it is answer E. because I think it is blue.

Find total marbles:

2 + 3 + 5 = 10

A. There are 2 red, so probability of picking red would be 2 out of 10 which would be 2/5. So A is false.

B. 3 blue + 5 green = 8 marbles. Probability of picking blue or green would be 8 out of 10 which would be 4/5 so B is false.

C. Picking green would be 5 out of 10 which would be 1/2 so c is true.

D. Picking not red would be picking green or blue which is the same as B. Which is 4/5 so D. Is true.

E. Since half the marbles are green and half the marbles are not green this one is also true.

The possibilities are C, D, and E

The pet store has 7 cats,16 dogs and 4 hamsters. What percentage of the animals are cats? Round your answer to the nearest tenth

Answers

Answer:

25.9%

Step-by-step explanation:

Total animals 7+16+4=27
Cats 7
7/27= 0.2592 rounded 0.26
26% of pet store animals are cats.

please help me i really need help please

Answers

V= 735.62

volume formula for sphere is v= 4/3 π r3
the radius is half of the diameter so v= 4/3 π 5.6 3

i think?

What is the value of x in the product of powers below?
6^9•6^x=6^2
0-11
0 -7
O 7
O 11

Answers

Answer:

Answer: x = -7

Step-by-step explanation:

6^9*6^x=6^2

A brick of marble weighs 2,268 grams and has the following dimensions:
length 25 cm, height 12 cm, and width 28 mm. What is the approximate
density of the marble? Round to the nearest tenth.
Type your numerical answer below.
density of marble = _(blank)
g
cm3

Answers

Answer:

Below in bold.

Step-by-step explanation:

Density = mass / volume

Mass = 2268 g.

Width of the brick = 28 mm = 2.8 cm.

Volume =  25 * 12 * 2.8 = 840 cm^3

So the density = 2268/840

= 2.7 g/cm^3.

Write an equation in slope-intercept form of the line that passes through the given points.

x y
-2 2
0 2
2 2
4 2

y=













Item 10
Write an equation in slope-intercept form of the line that passes through the given points.

$x$ $y$
$-2$ $2$
0 2
$2 2
$4$ $2$
$y=$

Answers

Answer:

y=0x + 2

Step-by-step explanation:

since the y-values are all the same, the line is horizontal. Horizontal lines always fall in the form of y = the common y-value.

Write the equation of the circle that has a center at point K (2, 4) and passes through the point (6, 5).

Answers

Answer:

i just forgot sorry

Step-by-step explanation:

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