Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 11
11. A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is . From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is . Find the height of the tower and the width of the canal.
Putting equation (1), we get
Using equation (1), we have
Therefore, Height of tower = AD = m
Width of Canal = DC = 10 m