Question

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower from the point A.

Answer 1

Let be height of tower and the angle of elevation of the top of tower from a point on the ground is and on moving with distance m towards the foot of tower on the pointis.

Let and

Now we have to find height of tower and distance of tower from point A.

So we use trigonometrical ratios.

In,

Again in ,

So distance

Hence the required height is m and distance is m.