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

A river is flowing from west to east with a speed of `5 m//min.` A man can swim in still water with a velocity `10m//min.` In which direction should the man swim so as to take the shortest possible path to go to the south.

A

`120^(@)`

B

`90^(@)`

C

`60^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

For shortest path man should swim with an angle (90 + 0) with down stream
`sin 0 =(v_(t))/(v_(m))=(5)/(10) -(1)/(2)`
`? 0=30^(@)`
So the angle `=90^(@)+30^(@) =120^(@)`
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