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Question

# A man is walking due west at the rate of 4km/h and the rain is falling at an angle of 30∘ east of vertical with a velocity of 6km/h. The velocity of the rain relative to the man will be

A
5km/h
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B
7.118km/h
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C
8.718km/h
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D
10km/h
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Solution

## The correct option is B 8.718km/hr=rain,g=ground &m=manLet, the resultant →vrm makes an angle of α with east of verticalwe have, →vrm=→vrg+→vmgHorizontal component: vrmsinα=6sin30o+4=7.........................................................(1)Vertical component: vrmcosα=6cos30o=3√3................................................(2)Squaring and Adding (1)&(2), we get, vrm=√49+27=8.718km/hr

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