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A man riding a bicycle with a speed of \( 5 \mathrm{~m} / \mathrm{s} \) towards north direction observes rain falling
\( \mathrm{P} \) vertically down, if he increases his speed to

W \( 10 \mathrm{~m} / \mathrm{s} \) rain appears to meet him at \( 45^{\circ} \) with the vertical. What is the speed of rain?
(1) \( 15 \mathrm{~m} / \mathrm{s} \)
(2) \( 15 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
(3) \( 5 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
(4) \( 10 \mathrm{~m} / \mathrm{s} \)
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