Question

A boy standing at a distance of 48 metres from a building observes the top of the building and makes an angle of elevation of 30°. Find the height of the building.

Answer 1

Let AB represent the height of the building and point C represent the position of the boy. 

Angle of elevation = ∠ACB = 30° BC = 48 m

In right angled ∆ABC, 

tan 30° = AB/BC … [By definition]

∴ The height of the building is 16√3 m.