Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 14
14. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60
. After some time, the angle of elevation reduces to 30
. Find the distance traveled by the balloon during the travel.
Solution:
The height of girl (EF) = 1.2 m (Given)
Height of balloon from the ground = BG = 88.2 m
We want to find distance traveled by balloon from point A to B.
BC = BG -CG = 88.2-1.2=87 m
AD = BC. Therefore, AD = 87 m
In
m
In
m
We want to find DC which is equal to AB.
DC = EC – DE
m
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