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Question

A stationary man observes that the rain is falling vertically downward. When he starts running with a velocity of 12 km/h, he observes that the rain is falling at an angle 60 with the vertical. The actual velocity of rain is

A
123 km/h
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B
63 km/h
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C
43 km/h
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D
23 km/h
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Solution

The correct option is C 43 km/h
Let Vm be the velocity of the running man.
Let the velocity of the rain be Vr

From the figure, we can say tan60=|Vm||Vr|
3=12|Vr|
|Vr|=43 km/h

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