36. Exemplar exercise problems XI

The angle of elevation of the top of a tower \(30 \ m\) high from the foot of another tower in the same plane is \(60^{\circ}\) and the angle of elevation of the top of the second tower from the foot of the first tower is \(30^{\circ}\). Find the distance between the two towers and also the height of the other tower.

 

 

The distance between the two towers \(=\) $i\sqrt{i}m$

 

The height of the other tower \(=\) \(m\)