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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. The angle to the bank at which he should swim, to reach the directly opposite point B on the other bank is

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a

10o upstream

b

20o upstream

c

30o upstream

d

60o upstream

answer is D.

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Detailed Solution

Refer to figure (a), tan⁡θ=vwvm=50100=12  or  vm=2vwRefer to figure (b),sin⁡α=vwvm=vw2vw=12 or θ=30∘So, it is 60o upstream.
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