Question

a man can row a boat in still water with a velocity of 8 kmph what is water flowing in a river with Casio 4 complete at what angle should Hero the boat so as to reach the exact opposite point ​

Answer 1

Given that,

Velocity of man = 8 kmph

Velocity of river = 4 kmph

Let man moves at α angle.

We need to calculate the angle

According to figure

Horizontal component of man equal to the horizontal velocity of river

So, $v_{m}\sin\alpha=v_{r}$

$\sin\alpha=\dfrac{v_{r}}{v_{m}}$

Put the value into the formula

$\sin\alpha=\dfrac{4}{8}$

$\sin\alpha=\dfrac{1}{2}$

$\alpha=\sin^{-1}(\dfrac{1}{2})$

$\alpha=30^{\circ}$

The angle of flow of water is

$\theta=90+\alpha$

Put the value into the formula

$\theta=90+30=120^{\circ}$

Hence, The angle is 120° to flow of water.

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Topic : vector

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