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A swimmer wants to cross a river from point A to point B.

Question:

A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30° with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle  with the line AB should be ____°, so that the swimmer reaches point B. 

Solution:

Both velocity vectors are of same magnitude therefore resultant would pass exactly midway through them

$\theta=30^{\circ}$

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