The stream of a river is flowing with a speed of 2 k m h - 1 . A swimmer can swim at a speed of 4 km h - 1 . The direction of the swimmer with respect to the flow of the river, to cross the river stra

Question

The stream of a river is flowing with a speed of 2 k m h - 1 . A swimmer can swim at a speed of 4 km h - 1 . The direction of the swimmer with respect to the flow of the river, to cross the river straight, is

TestHub · Accepted Answer

To reach the point directly opposite to the starting point, the resultant velocity of swimmer should be as shown in figure.

From figure
$\sin θ = \frac{2}{4} = \frac{1}{2}$
$θ = 30 °$
Angle with flow $= 90 ° + 30 ° = 120 °$

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