Rain is falling vertically with speed of \( 35 \mathrm{~m} / \mathrm{s} \). A woman rides a bicy...

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Rain is falling vertically with speed of \( 35 \mathrm{~m} / \mathrm{s} \). A woman rides a bicycle with a speed of \( 15 \mathrm{~m} / \mathrm{s} \) in East to West direction. What is the direction in which she should hold her umbrella?
a. \( \tan ^{-1}\left(\frac{3}{7}\right) \) with the vertical towards west
b. \( \tan ^{-1}\left(\frac{4}{7}\right) \) with the vertical towards east
c. \( \tan ^{-1}\left(\frac{5}{7}\right) \) with the vertical towards east
d. Towards North downward
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