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A balloon is observed simultaneously fro...

A balloon is observed simultaneously from three points A, B and C on a straight road directly under it. The angular elevation at `B` is twice and at `C` is thrice that at `A` . If the distance between A and B is 200 metres and the distance between B and C is 100 metres, then find the height of balloon above the road.

A

50 metres

B

`50sqrt3` metres

C

`50sqrt2` metres

D

None of these

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The correct Answer is:
D
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