Relative motion in 2 dimension

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Question

A person is swimming with a speed of 10 m/s at an angle of $120^{0}$ with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is ‘x’ m/s . The value of ‘x’ to the nearest integer is __

Easy

Solution

Take angle from vertical side as $30^{0}$
$\sin 30^{0} = \frac{v_{r}}{v_{s}} \Rightarrow v_{r} = \frac{1}{2} \times 10 = 5 m / s$

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