NCERT Solution Class X Mathematics Some Applications of Trigonometry Question 14 (Ex 9.1)

Question 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 travelled by the balloon during the interval.

Answer:

Let the initial position A of balloon change to B after some time and CD be the girl.

In ΔACE,

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