Question

A person is at the top of tower 75 feet high from there he observes a vertical pole and finds the angles of depression of the top and the bottom of the pole which are 30° and 60° respectively. Find the height of the pole. 

Answer 1

Let AB be the tower = 75 feet, 

CD be the pole = x 

AX is ∥ ^lel to MC 

∴ AĈM = XÂC = 30° 

AX ∥ ^lel BD 

Hence AD̂B = XÂD = 60°

Now from the right triangle ADB, we have