Question

From a point 57 feet from the base of a building, the angle of elevation to the top of the building is 35°. What is the height of the building

Answer 1

39.9 ft

Explanation:

We solve using the Trigonometric function of Tangent

The formula for angle of elevation =

tan θ = Opposite/Adjacent

θ = Angle of elevation = 35°

Adjacent = 57 feet

Height = Opposite = x

Hence,

tan 35 = x/57 ft

Cross Multiply

x = tan 35 × 57 ft

x = 39.911829678 ft

Approximately the height of the building = 39.9 ft