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Q. 27. A boy, who’s eye level is 1.3 m from the ground, spots a balloon moving with the wind in a horizontal line at some height from the ground. The angle of elevation of the balloon from the eyes of the boy at any instant is 60°. After 2 seconds, the angle of elevation reduces to 30°. If the speed of wind at that moment is 29 3 m/s, then find the height of the balloon from the ground.

Sol. Let AP be the boy, C and E are two positions
of the balloon. Speed of wind
Distance travelled by the balloon in 2 seconds,
CE = BD =
Let AB = x m and BC = DE = y m

Mathematics 2009 Question Papers Class X
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