Mathematics High School

Two buildings are 30 m apart. The angle from the top of the shorter building to the top of the taller building is. The angle from the top of the shorter building to the base of the taller building is. What is the height of the taller building?

Answers

Answer 1

Answer:

The height of the taller building is: 51.345m

Step-by-step explanation:

Given

The question has missing details (See attachment for the illustration of the complete question)

Required

The height of the tall building

The height, a, is calculated as:

[tex]a = b +c[/tex]

To solve for b, we consider the upper half of the attached image

The upper half is a right triangle.

Using tan formula, we have:

[tex]tan(31) = \frac{b}{30}[/tex]

Solve for b

[tex]b = 30 * tan(31)[/tex]

To solve for c, we consider the lower half of the attached image

Using tan formula, we have:

[tex]tan(48) = \frac{c}{30}[/tex]

Solve for c

[tex]c = 30 * tan(48)[/tex]

Recall that: [tex]a = b +c[/tex]

So:

[tex]a = 30 * tan(31) + 30 * tan(48)[/tex]

[tex]a = 30 * 0.6009 + 30 * 1.1106[/tex]

[tex]a = 18.027 + 33.318[/tex]

[tex]a = 51.345[/tex]

Two Buildings Are 30 M Apart. The Angle From The Top Of The Shorter Building To The Top Of The Taller

Related Questions

the price of a phone on sale was increased from $80 to $120. By what percentage was the price of the phone increased?

Answers

Answer:

50% increase

Step-by-step explanation:

120 - 80 = 40

40 = 50% of 80

Answer:

50%

Step-by-step explanation:

120 / 80 = 1.5

1.5 x 100 = 150%

150% - 100% = 50%

Laine reads 25 pages in 30 minutes.
If Laine reads 200 pages at this same rate, how long will it take her?

Answers

Answer:

i believe it would take laine 4 hrs

honestly i'm ready to give up, I need help but nobody's helping and it's extremely stressful so could someone please help. and not send a virus or po-rn- pic?

Answers

Answer:

b-d-e

Step-by-step explanation:

I think i could completly wrong

* someone sent u p-orn?*

R + c = 100
R= 14 + 3c

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

(c , r)= (43/2 , 157/2)

Help help help help help help help help

Answers

Answer:

87,069.6

Step-by-step explanation:

HELP ASAP!!!!!! thank youuu

Answers

Can you show the full picture

please help this is so confusing.

Answers

Answer:

6 ÷ 3 = -6/-3

(-3)/6 = 3 ÷ (-6) = -(3/6)

6/(-3) = -(6/3)

leftover: -3/-6

The graph shown meets the conditions -3 ≤ y ≤ 3.
True or False

Answers

Answer:

true

Step-by-step explanation:

help pls. it’s from khan academy

Answers

ANSWER: 7/6

step 1: Simplify both sides of the equation.
step 2:Subtract 2/3 from both sides.
step 3: Multiply both sides by 7/(-1).

(x + 1) (2x - 5) = 0

Answers

x=-1 (negative one)



(i need this part to post the answer so just ignore it lol)

I will give BRAINLEST TO WHO ANSWER !!!!!

Answers

Answer:

a=7 b=24 c=25

Step-by-step explanation:

Leg a=7

Leg b=24

According to Pythagorean theorem: a^2+b^2=c^2

49+576=c^2

C^2=625

c=25

Answer:

Step-by-step explanation:

This is a right triangle, so we may apply the Pythagorean Theorem.  The two leg lengths are 7 and 24 respectively, and so the length of the hypotenuse is

√(7² + 24²) = 25

Determine if the two figures are similar by using transformations

Answers

Step-by-step explanation:

they are the same because FIGH just the ENLARGEMENT of ABCD

A farmer would like to estimate the mean amount of milk produced per day by his 300 cows. He selects a random sample of 15 cows and records the amount of milk produced (in gallons) by those cows. The dotplot shows the data. A dotplot. A number line labeled amount of milk (gallons) goes from 20 to 32. 20, 1; 21, 1; 22, 1; 23, 1; 24, 2; 25, 3; 26, 2; 27, 1; 28, 1; 29, 1; 31, 1. Are the conditions for constructing a t confidence interval met? No, the random condition is not met. No, the 10% condition is not met. No, the Normal/large sample condition is not met. Yes, the conditions for inference are met.

Answers

Wait did you already answer it ¯\_(ツ)_/¯

What is the lateral surface of the triangular prism?

Answers

Answer:

5

Step-by-step explanation:

rounding off 0nes decimal place 0.09

Answers

Answer:

0.1

Step-by-step explanation:

Since the 9 is greater than or equal to 5, you round up, turning the 0 to 1

Answer:

0.1

Step-by-step explanation:

Can you please help me I would appreciate it so much

Answers

Answer:

Below.

Step-by-step explanation:

The distributive property:

3(x + 4)

= 3*x + 3*4

= 3x + 12.

You are ' distributing 3 over the parentheses'

Solve the proportion.
7
b
21
18
b = [?]

Answers

Answer:

b = 6

Step-by-step explanation:

here's your solution

=> 7/21 = b/18

=> by cross multiplication

=> 21b = 7*18

=> b = 126/21

=> b = 6

hope it helps

Answer:

b = 6

Step-by-step explanation:

To find the answer, find the GCF of 7 and 21, which is 7, and divide it by 7/7 to get 1/3, now the equation is 1/3 = b/18. How many times does 3 multiply to get 18? 6, multiply the first side of the equation by 6/6 to get 6/18, now we have 6/18 = b/18, since they are the same, b = 6

A student at lynbrook high School are building a shape below to put in their school. What is the total area of the shape and square units?

Answers

Answer:

j8jjjhvvbbbvvbbbbvvvbbbbbb

40
Step-by-step explanation:
area= length times width
1 times 10= 10 times 2= 20
2 times 10=20
20+20=40

Pls help!

What is 10% of 900?

Answers

Answer: 90 i hope this helps pls tell me if a m worun g

The answer is 90.............

plz answer correctly and thank you

Answers

Answer:

83

Step-by-step explanation:

get rid of decimals and become 2988/36

divide and get 83

1/6 into a decimal and percent WILL REPORT AND GIVE BRAINLYEST

Answers

Answer:

1/6 = 0.167 or 16%

Step-by-step explanation:

Okay, so to go from a fraction to a decimal, you really just have to put the dot in the right place:

1/6 = 0.167 (rounded)

So 1/6 is 0.167 as a decimal

So to find the percentage:

0.167 x 10 = 16.7

So 1/6 is 16.7%

hope this helps:)

Answer:

Decimal: 0.166666667

Percent: 16.6666667%

Step-by-step explanation:

First a decimal:

Divide 1 ÷ 6: 0.166666667

Now a percent, to convert decimals to percents multiply them by 100 and add the percent sign:

0.166666667 ⋅ 100 = 16.6666667%

Adam bought a fish aquarium worth $2,000 in the first week of the year. Its value depreciates by 3% per
week. What will the value of fish aquarium after 5 weeks?

Answers

Answer:

The answer is 1825.35

Step-by-step explanation:

Since the first week isn’t included, we only count 4 weeks.

So first, 2000 x 0.03 = 60

(By the way 0.03 is 3%)

2000 - 60 = 1940

Subtracting 2000 by 60 represents the amount of money the aquarium went down in that week.

Then, week 3:

1940 x 0.03 = 58.2

1940 - 58.2 = 1881.8

Now, the last week, week four:

1881.8 x 0.03 = 56.45

1881.8 - 56.45 = 1825.35.

Therefore, 1825.35 after 5 weeks.

Help againn!!!!! Will give 15 points

Answers

Answer:

1. 8x+10

2. 25x-7

Step-by-step explanation:

Answer:

1) 8x + 10

2) 25x - 7

utilizando as propriedades dos radicais calcule √³√⁵√2​

Answers

Answer:

Japanese Americans sold their businesses and houses for a fraction of their value before being sent to the camps. In the process, they lost their livelihoods and much of their lifesavings.

Step-by-step explanation:

In the last 75 free throws you make 40 baskets how many baskets would you expect to make if you made 300 free throws

Answers

Answer:

160

Step-by-step explanation:

40/75 = x/300

300/75 = 4

4 · 40 = 160

Answer:

160 baskets

Step-by-step explanation:

Divide 300 by the 75 free throws.

300 ÷ 75 = 4

Multiply the 40 baskets times 4

40 × 4 = 160

Hope this helps and have a wonderful day!

The approximated difference of 10,485 – 3,985 is ________ .

pls give answer

Answers

Answer:

The approximate difference between the two numbers are 6,500

Step-by-step explanation:

The computation is shown below:

As in the question it is asked the difference between the two numbers

And, the two numbers are 10,485 and 3,985

So, the approximate difference is

= 10,485 - 3,985

= 6,500

Hence, The approximate difference between the two numbers are 6,500

The same is considered and relevant too

Anyone mind helping? 15 Points! :D

Answers

Answer:

(2x+8y)

(2x+2×4y)

2(x+4y)

The figure is made up of a square and a rectangle. How much longer is side FE than A F?

A. 1 foot
B. 2 feet
C. 9 feet
D. 11 feet
​

Answers

Answer:

2

Step-by-step explanation:

A F = 48

F E = 50

50 - 48 = 2

Thus the answer is 2

In 4/5, 5 is the _____.

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

it is the denominator

Step-by-step explanation:

Find the value of x. Find m

Answers

Answer:

∠ QRS = 100°

Step-by-step explanation:

Since RU bisects ∠ QRS , then

∠ QRU = ∠ SRU , that is

[tex]\frac{1}{2}[/tex] x + 10 = 50 ( subtract 10 from both sides )

[tex]\frac{1}{2}[/tex] x = 40 ( multiply both sides by 2 )

x = 80

Then

∠ QRU = [tex]\frac{1}{2}[/tex] x + 10 = 0.5 × 80 + 10 = 40 + 10 = 50°

∠ QRS = 50° + 50° = 100°

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