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March 25, 2017

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A boater wants to head straight across a river that has a current of 3km/hr. If the top speed of the boat in still water is 4km/hr, find the direction the boat must travel into the current to go straight across the river. How fast is the boat going straight across the river?

  • Physics - ,

    Assume current is moving due south(270o).

    Vb = 4 - 3i.
    tanA = -3/4 = -0.75
    A = -36.9o = 36.9o South of East.
    Vb = 4/cos36.9 = 5 km/h = Velocity of
    boat.

    The boat must travel 5 km/h @ 36.9o North of East.

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