Question

A building casts a shadow 20 meters long if the angle from the tip of the shadow to the highest point of the building is 69 degrees what is the height of the building?

Answer 1

52.1m

Explanation:

Please see attachment for explanatory diagram.

From the diagram:

Opposite = H

Adjacent = 20m

Angle θ = 69°

The height, H of the building can be obtained as follow:

Tan θ = Opp /Adj

Tan 69 = H/20

Cross multiply

H = 20 x Tan 69

H = 52.1m

Therefore, the height of the building is 52.1m