Question

A man wants to cross river to a point exactly opposite on other bank of the river. if he can row the boat twice the velocity of water current then at what angle must he keep the boat pointed

Answer 1

Answer:

θ = 30° with Vertical

Explanation:

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Answer 2

He must point his boat at an angle 30°

Explanation:

Let the velocity of the river be v

Then the velocity of the boat = 2v

Let the man rows the boat at an angle $\theta$ as shown in the figure

Then the resultant velocity should be in the direction of AB

As shown in figure

In $\triangle ABC$

$\sin\theta=\frac{CB}{CA}$

$\implies \sin\theta=\frac{v}{2v}$

$\implies \sin\theta=\frac{1}{2}$

$\implies \sin\theta=\sin 30^\circ$

$\implies \theta=30^\circ$

Hope this answer is helpful.

Know More:

Q: A man crosses a river in a boat. If he cross the river in minimum time he takes 10 minutes with a drift 120 m. if he crosses the river taking shortest path. He takes 12.5 minute find

(a) width of the river

(b) velocity of the boat with respect to water

(c) speed of the current

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