Q 1 :    

A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point P on the ground is ${60}^o$ and the angle of depression of the point P from the top of the tower is ${45}^o$. Find the height of the tower and the distance of point P from the foot of the tower. (Use $\sqrt{3}$ = 1.73)