Question

The angle of elevation of a building 20m high from a man on the ground is 65⁰. How far is the man from the base of the building

Answer 1

To find the distance from the man to the base of the building, we can use the tangent function.

tan(65⁰) = opposite/adjacent
tan(65⁰) = 20m/distance

Solving for the distance:
distance = 20m / tan(65⁰)
distance ≈ 8.24m

Therefore, the man is approximately 8.24m away from the base of the building.