Question

An observer at the top of a skyscraper sees a car on the road below. The angle of depression to the car is 29°. If the car is about 62 m from the skyscraper when it is seen, how tall is the skyscraper?

Answer 1

The height of the skyscraper is 34.4m

Explanation:

Let the height of the skyscraper be 'h'

Distance between the skyscraper and the car = 62 m

Angle of depression = 29°

Angle = 61°

tan 61° = 62/h

1.80 = 62/h

h = 62/1.80

h = 34.4m

The height of the skyscraper is 34.4m