Question

the elevation of a tower from a point on the ground is 30 at a point on the horizontal line passing through the foot of the tower and 100 metres nearer it, the angle of elevation is 60 find height of the tower and the distance of the first point from the tower

Answer 1

As always, draw a diagram. If the height is h, and the distance is d, you have

h/d = tan 60°
h/(d+100) = tan 30°

Now just solve for d and h.