Question

A person standing on level ground is 3020 feet away from the foot of a building. If the height of the building is 2534 feet, find the angle of elevation formed at the point where the person is standing to the nearest degree

Answer 1

40°

Explanation:

Base length, b = adjacent = 3020 feets

Height of building, h = opposite = 2534 feets

The angle of elevation formed :

Using the trigonometry relation:

Tan θ = opposite / Adjacent

Tan θ = 2534 / 3020

Tan θ = 0.8390728

θ = tan^-1(0.8390728)

θ = 39.999

= 40°