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.
Solution:
In
,
m (1)
In
Putting equation (1), we get
m
Using equation (1), we have
m
Therefore, Height of tower = AD =
m
Width of Canal = DC = 10 m
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