Rain is falling vertically with a speed of \( 30 \mathrm{~m} \mathrm{~s}^{-1} \). A woman rides ....

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Rain is falling vertically with a speed of \( 30 \mathrm{~m} \mathrm{~s}^{-1} \).
\( \mathrm{P} \)
A woman rides a bicycle with a speed of \( 12 \mathrm{~m} \mathrm{~s}^{-1} \) in east to west direction. In which direction she should hold her umbrella?
(1) At an angle of \( \tan ^{-1}\left(\frac{2}{5}\right) \) with the vertical towards the east.
(2) At an angle of \( \tan ^{-1}\left(\frac{2}{5}\right) \) with the vertical towards the west.
(3) At an angle of \( \tan ^{-1}\left(\frac{5}{2}\right) \) with the vertical towards the east.
4) At an angle of \( \tan ^{-1}\left(\frac{5}{2}\right) \) with the vertical towards the west.


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