A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of

Question

A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of $0.5 \mathrm{~m} / \mathrm{s}$ at an angle of $120^{\circ}$ with the direction of flow of water. The speed of water in the stream, is\

Professor PC Thomas Classes · Answer

(a) : Let $v$ be the velocity of river water. As shown in figure,\ $\sin 30^{\circ}=\frac{v}{0.5}$\ or, $\quad v=0.5 \sin 30^{\circ}$ $$ =0.5 	imes(1 / 2)=0.25 \mathrm{~m} / \mathrm{s} $$