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Rain is falling vertically with a speed of 20 $m s^{- 1}$ relative to air. A person is running in the rain with a velocity of 5 $m s^{- 1}$ and a wind is also blowing with a speed of 15 $m s^{- 1}$ (both towards east). Find the angle with the vertical at which the person should hold his umbrella so that he may not get drenched.

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An Intiative by Sri Chaitanya

$\tan^{- 1} \sqrt{2}$

$\tan^{- 1} (\frac{1}{2})$

$\tan^{- 1} (2)$

45°

answer is B.

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