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Rain is falling vertically with a speed of \( 30 \mathrm{~m} \mathrm{~s}^{-1} \).
A woman rides a bicycle with a speed of \( 12 \mathrm{~m} \mathrm{~s}^{-1} \)
\( \mathrm{P} \) in east to west direction. In which direction she

W should hold her umbrella?
(a) At an angle of \( \tan ^{-1}\left(\frac{2}{5}\right) \) with the vertical towards the east.
(b) At angle of \( \tan ^{-1}\left(\frac{2}{5}\right) \) with the vertical towards the west.
(c) At angle of \( \tan ^{-1}\left(\frac{5}{2}\right) \) with the vertical towards the east.
(d) At angle of \( \tan ^{-1}\left(\frac{5}{2}\right) \) with the vertical towards the west.
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