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A man running at a speed of 5 kmph finds...

A man running at a speed of 5 kmph finds that the rain falls vertically. When he stops running, he finds that the rain is falling at an angle of 60° with the horizontal. The velocity of rain with respect to running man is

A

`5/sqrt(3)`kmph

B

`(5sqrt(3))/(2)`kmph

C

`(4sqrt(3))/(5)`kmph

D

`5/3`kmph

Text Solution

Verified by Experts

The correct Answer is:
D
`tan 30^@ =V_(m)/V_(rm)`
`implies V_(rm)/ tan 30^@`
`V_(m) = 5 kmph`
`therefore V_(rm)=5/(1/sqrt(3))=5sqrt(3)kmph`
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Knowledge Check

  • A staionary man observes that the rain is falling vertically downward. When he starts running with a velocity of 12 km/h observes that the rains is falling at an angle 60^(@) with the vertical. The actual velocity of rain is

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    C
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