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

Options

A. `5/sqrt(3)`kmph
B. `(5sqrt(3))/(2)`kmph
C. `(4sqrt(3))/(5)`kmph
D. `5/3`kmph

Answer

D

Explanation

`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`