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Q.

A man swims from a point a on one bank of a river of width 100 m. When he swims perpendicular to the water current, he reaches the other bank 50 m downstream. Find angle with upstream at which he should swim, to reach the directly opposite point on the other bank. Give answer in degree.

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answer is 60.

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Detailed Solution

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Refer to Fig (a)
tanθ=vwvm=50100=12orvm=2vw
Refer to Fig (b)
sinθ=vwvm=vw2vw=12orθ=30°
So, it is 60°  upstream
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