A man can swim in still water with a speed of 2 m/s. If he wants to cross a river of water current speed 3 m/s along shortest possible path, then in which direction should he swim?

sin θ = 32 ⇒ θ = 600Hence 1500 with water current.

A man can swim in still water with a speed of 2 m/s. If he wants to cross a river of water current speed 3 m/s along shortest possible path, then in which direction should he swim?

sin θ = 32 ⇒ θ = 600Hence 1500 with water current.

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A man can swim in still water with a speed of 2 m/s. If he wants to cross a river of water current speed $\sqrt{3}$ m/s along shortest possible path, then in which direction should he swim?

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at an angle $90^{o}$ to the water current

none of these

at an angle $120^{o}$ to the water current

at an angle $150^{0}$ to the water current

answer is B.

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$\sin θ = \frac{\sqrt{3}}{2} \Rightarrow θ = 60^{0}$

Hence $150^{0}$ with water current.

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A man can swim in still water with a speed of 2 m/s. If he wants to cross a river of water current speed 3 m/s along shortest possible path, then in which direction should he swim?

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A man can swim in still water with a speed of 2 m/s. If he wants to cross a river of water current speed $\sqrt{3}$ m/s along shortest possible path, then in which direction should he swim?