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belka [17]
3 years ago
10

from a window 20 feet above the ground, the angle of elevation to the top of another building is 35 degrees. The distance betwee

n the building is 52 feet. Find the height of the building nearest to the nearest tenth of a foot

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Answer:

  56.4 ft

Step-by-step explanation:

The tangent of the angle relates the opposite side (height above the window) to the adjacent side (distance between buildings) in the right triangle that models this geometry.

  Tan = Opposite/Adjacent

  tan(35°) = (height above window)/(distance between buildings)

  height above window = (52 ft)tan(35°) ≈ 36.4 ft

Added to the window height of 20 ft, the height of the other building is ...

  20 ft + 36.4 ft = 56.4 ft

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Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.
vazorg [7]

Answer

Find out the what is the percent error in the measurement, to the nearest tenth of a percent .  

To prove

Formula

Percentage\ error = \frac{error\times 100}{exact}

Where error = | Approx - Exact |

As given

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters.

Approx value = 44.25 meters    

Actual value = 45.5 meters        

error = | 44.25 - 45.5 |

         = |-1.25|

         = 1.25

Put in the formula

Percentage\ error = \frac{1.25\times 100}{45.5}

Percentage\ error = \frac{125}{45.5}

Percentage error = 2.7%

Therefore the percentage error is 2.7% .




3 0
3 years ago
How much salt should Ilya add to 810g of water to make 10% solution? How much solution will he make?
cestrela7 [59]
10/100 = x / (810+x) 

1/10 = x / (810 + x)

10x = 810 + x

9x = 810

x = 90 g salt 


mass of solution = mass of water + mass of salt

ms = mw + m salt

ms = 810 + 90

ms = 900 g of solution
6 0
3 years ago
A scale on a map shows that 2 inches = 25 miles.
Bad White [126]

4.8 inches would be equal to 60 miles.

3 0
4 years ago
Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte. She wants to keep her bill at $75.10
zvonat [6]

Answer:

To stay within budget, she must use 4.4 gigabytes.

Step-by-step explanation:

Giving the following information:

Fixed cost= $57.50 per month

Variable cost= $4 per gigabyte.

She wants to keep her bill at $75.10 per month.

<u>First, we need to establish the total cost formula:</u>

Total cost= 57.5 + 4*x

x= number of gigabytes

<u>Now, we isolate x:</u>

75.1= 57.5 + 4x

17.6/4= x

4.4= x

To stay within budget, she must use 4.4 gigabytes.

6 0
3 years ago
Read 2 more answers
Write the number twenty-nine million sixty thousand​
BartSMP [9]

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

6 0
3 years ago
Read 2 more answers
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