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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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