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Rain, driven by the wind, falls on a railway
\( \mathrm{P} \) compartment with a velocity of \( 20 \mathrm{~m} / \mathrm{s} \) at an angle of \( 30^{\circ} \) to the vertical, the train moves, along the direction
W of wind flow, at a speed of \( 108 \mathrm{~km} / \mathrm{hr} \). Determine the apparent velocity of rain for a person sitting in train.
(1) \( 20 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
(2) \( 10 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
(3) \( 15 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
(4) \( 25 \sqrt{7} \mathrm{~m} / \mathrm{s} \)
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