Rain is falling vertically with a velocity of \( 25 \mathrm{~m} \mathrm{~s}^{-1} \). A woman rid...

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Rain is falling vertically with a velocity of \( 25 \mathrm{~m} \mathrm{~s}^{-1} \). A woman rides a bicycle with a speed of \( 10 \mathrm{~m} \mathrm{~s}^{-1} \) in the north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to safe herself from rain?
(1) \( \tan ^{-1}(0.4) \)
(2) \( \tan ^{-1}(1) \)
(3) \( \tan ^{-1}(\sqrt{3}) \)
(4) \( \tan ^{-1}(2.6) \)
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