Rain is falling vertically with a s...

Rain is falling vertically with a speed of 28 m/s. A woman rides a bicycle with a speed of 21 m/s in east to west direction. What is the direction in which she should hold her umbrella?

NEET/Medical Exams
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The described situation is shown in the given figure. Here. ( v_{c}= ) Velocity of the cyclist ( v_{r}= ) Velocity of falling rain In order to protect herself from the rain, the woman must hold her umbrella in the direction of the relative velocity (v) of the rain with respect to the woman. ( v=v_{r}+left(-v_{c}right) ) ( =30+(-10)=20 mathrm{m} / mathrm{s} ) ( tan theta=v_{c} / v_{r}=10 / 30 ) ( theta=tan ^{-1}(1 / 3) ) ( =tan ^{-1}(0.333) approx 18^{circ} ) Hence, the woman must hold the umbrella toward the south, at an angle of nearly ( 18^{circ} ) with the Vertical.
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