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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 `2sqrt(3)m//s` he has to keep his umbrella vertical to protect hismself from rain. The actual speed of rain is `5m//s` . At what angle with vertical should he keep his umbrella when he is at rest so that he does not get drenched ?

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