Question

A TV tower stands vertically on a bank of canal. Form a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60° . From another point 20 m away from the point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the height of the tower and the width of the canal.

Answer 1

Let PQ=h m be the height of the TV tower and BQ= x m be the width of the canal.

We have,

So, the height of the TV tower is 10√3 m and the width of the canal is 10 m.