Rain is falling vertically with a speed of \( 35 \mathrm{~ms}^{-1} \). A woman rides a bicycle w...

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Rain is falling vertically with a speed of \( 35 \mathrm{~ms}^{-1} \). A woman rides a bicycle with a speed of \( 12 \mathrm{~ms}^{-1} \) in east to west direction. The direction in which she should hold her umbrella is
(a) at \( \cos ^{-1}(0.343) \) with vertical towards east
(b) at \( \tan ^{-1}(0.343) \) with vertical towards west
(c) at \( \cos ^{-1}(0.343) \) with vertical towards west
(d) at \( \tan ^{-1}(0.343) \) with vertical towards east
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