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Rain is falling vertically with a speed of $35 m s^{- 1}$ . Winds starts blowing after some time with a speed of 12 $m s^{- 1}$ in east to west direction. In which direction should a boy waiting at a bus stop hold his umbrella

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$19^{0}$ south

$19^{0}$ east

$19^{0}$ north

$19^{0}$ west

answer is D.

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Detailed Solution

$\tan θ = \frac{v w}{v R} \tan θ = \frac{12}{35} θ = \tan (0.343) θ = 19^{0} E a s t$

The boy should hold is umbrella in the vertical phase at an angle of about $19^{0}$ with the vertical towards the east.

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