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A 1.2 m tall girl spots a ballon moving ...

A 1.2 m tall girl spots a ballon moving with 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.

Text Solution

Verified by Experts

From `/_\BEC`
`tan30^0=(BE)/(CE)`
`1/sqrt3=87/(CE)`
`CE=87sqrt3`
From `/_\ADC`, `tan60^0=(AD)/(CD)`
`sqrt3 = 87/(CD)`
`CD = 29sqrt3`
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