Question

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter.

Answer 1

55 m

Explanation:

Did it on Ed.

Answer 2

A shadow measures 88 m: d = 88 m.
The angle : α = 32°
We will use trigonometry:
h / d = tan α
h / 88 m = tan 32°
h / 88 m = 0.62489
h = 88 m * 0.62489
h = 54.9885 m ≈ 55 m
Answer: The approximate height of a building is 55 meters.