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

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.

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The correct Answer is:
`58sqrt3`m
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A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2m 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^(@) ( see Figure ) . Find the distance travelled by the balloon during the interval.

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^(@) (see figure below). find the distance travelled by the balloon during the interval.

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CPC CAMBRIDGE PUBLICATION-SOME APPLICATIONS OF TRIGONOMETRY-EXERCISE 12.1
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