Question

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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Solution

The correct option is **D** 60∘ upstream

tanθ=vwvm=50100=12 or vm=2vw

Refer to Fig.

sinα=vwvm=vm2vw=12 or θ=30∘

So, it is 60∘ upstream.

tanθ=vwvm=50100=12 or vm=2vw

Refer to Fig.

sinα=vwvm=vm2vw=12 or θ=30∘

So, it is 60∘ upstream.

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