Page 2 - Lesson Notes-Word Problems Ch-9 (Applications of Trigonometry)

CD = 2m

Let BC = x

0
AB = x (using tan 45 )

In ΔABD

BD = AB √3 = x √3

We know CD = BD – BC = 2m

x√3-x = 2

x = , which is height.

Example 2- 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 60o. From another
point 20m away 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 30o (see
fig.). Find the height of the tower and the width of the canal.

a)
b)

c)
d) none of these

Solution-

2