A man is going due east with a velocity or \( 5 \mathrm{~ms}^{-1} \). It is vertically raining d...

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A man is going due east with a velocity or \( 5 \mathrm{~ms}^{-1} \). It is vertically raining downwards with a velocity of \( 4 \mathrm{~ms}^{-1} \).
\( \mathrm{P} \)
At what angle should he hold the umbrella to the
W
vertical so as to protect himself from the rain?
(1) \( \tan ^{-1}\left(\frac{5}{4}\right) \) in anti-clockwise direction
(2) \( \tan ^{-1}\left(\frac{5}{4}\right) \) in clockwise direction
(3) \( \tan ^{-1}\left(\frac{4}{5}\right) \) North of East
(4) \( \tan ^{-1}\left(\frac{4}{5}\right) \) East of North
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