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Q.

A swimmer wants to cross a river from point A to point B. Line AB makes an angle of  60 with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle  θ  with the line AB should be, so that the swimmer reaches point B. 
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answer is 60.

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Detailed Solution

(60) As per question, magnitude of velocity of the swimmer is same as that of the river.
So resultant would pass exactly midway through them
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Angleθ=120

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A swimmer wants to cross a river from point A to point B. Line AB makes an angle of  60∘ with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle  θ  with the line AB should be, so that the swimmer reaches point B.