Rain falls vertically downward at 12 m/s. A man runs horizontally at 5 m/s. If θ is the angle through which he should tilt his umbrella from the vertical toward the direction of motion, then:
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Question

Rain falls vertically downward at 12 m/s. A man runs horizontally at 5 m/s. If θ is the angle through which he should tilt his umbrella from the vertical toward the direction of motion, then:

G1 Physics · Accepted Answer

In the man's frame, the rain has horizontal component 5 m/s opposite to his motion and vertical component 12 m/s downward. Therefore tanθ = (horizontal component)/(vertical component) = 5/12. Hence option A is correct.