Question

A statue stands on the top of a pedestal 4m. From a point on the ground, the angle of elevation of the top of the statue is ${60}^{\circ }$ and from the same point, the angle of elevation of the top of the pedestal is ${45}^{\circ }$. Find the height of the statue.

Answer 1

BC = 4m

Let CD = x

In $\Delta$ABC

AB = BC = 4m

In $\Delta$ABD

BD = AB$\sqrt{3}$ = 4$\sqrt{3}$m

Hence Tower height = CD = BD - BC = 4 ($\sqrt{3}$ - 1)m