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A man is coming down an incline of angle...

A man is coming down an incline of angle `30^@`. When he walks with speed `2(sqrt(3)) m s^-1` he has to keep his umbrella vertical to protect himself from rain. The actual speed of rain is `5 ms^-1`. At angle with vertical should he keep his umbrella when he is at rest so that he does not getb drenched ?
.

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The correct Answer is:
`37^(@)`
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