Rain is falling vertically with a speed of \( 20 \mathrm{~m} / \mathrm{s} \). A person is runnin...

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Rain is falling vertically with a speed of \( 20 \mathrm{~m} / \mathrm{s} \). A person is running in the rain with a velocity of \( 5 \mathrm{~m} / \mathrm{s} \) and a wind also starts blowing with a speed of \( 15 \mathrm{~m} / \mathrm{s} \) (both from the west). The angle with the vertical at which the person should hold his umbrella so that he may not get drenched is
(A) \( \tan ^{-1}\left(\frac{1}{2}\right) \)
(B) \( \tan ^{-1}\left(\frac{1}{3}\right) \)
(C) \( \tan ^{-1}\left(\frac{1}{4}\right) \)
(D) \( \tan ^{-1}(2) \)
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