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A man holds an umbrella at 30^@ with the...

A man holds an umbrella at `30^@` with the vertical to keep himself dry. He, then, runs at a speed of `10ms^(-1)`, and find the rain drops to be hitting vertically. Study the following statement and find the correct options.
i. Velocity of rain w.r.t. Earth is `20 ms^(-1)`
ii. Velocity of rain w.r.t. man is `10 sqrt(3)ms^(-1)`.
iii. Velocity of rain w.r.t. Earth is `30 ms^(-1)`
iv. Velocity of rain w.r. t. man is `10sqrt(2) ms^(-1)` .

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