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A river is flowing from west to east wit...

A river is flowing from west to east with a speed 5 m `s^(-1)`. A swimmer can swim in still water at a speed of 10 m `s^(-1)` .
If he wants to start from point A on south bank and reach opposite point B on north bank. In what direction direction should he swim ?

A

`30^(@)` east of north

B

`60^(@)` east of north

C

`30^(@)` west of north

D

`60^(@)` west of north

Text Solution

Verified by Experts

The correct Answer is:
C

Here, Velocity of swimmer in still water, `v_(s) = 10 ms^(-1)`
Velocity of water flowing in river, `vecv_(r) = 5ms^(-1)`
from figure, `sin theta = (v_(r))/(v_(s)) = (5)/(10) = (1)/(2)`
`theta = sin^(-1)((1)/(2)) = 30^(@)` west of north
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