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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 and at what speed does he drift downstream?

  • pre-calculus -

    He drifts downstream at the river's speed, 7 mph. He has a 3 mph component across the river.

    His direction with respect to the heading angle (straight across) is
    tan^-1 7/3 = 66.8 degrees (towards downstream)

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