A man who can row in still water at 3 mph heads directly across a river flowing at 7 mph. At what angle to the line on which he is heading does he drift downstream (nearest degree) ? 23° 50° 67°

Question

Mathematics

Guest

10 June, 08:31

A man who can row in still water at 3 mph heads directly across a river flowing at 7 mph. At what angle to the line on which he is heading does he drift downstream (nearest degree) ? 23° 50° 67°

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Answers (1)

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Williams · Answer 1

If the velocity of the rower is V1=3mph and velocity of the river is V2=7mph and

V1 ⊥V2 then

tanα=7/3 = > tanα ≈ 2.33 = > α≈ 66.8° ≈ 67°

The correct answer is 67°

Good luck!