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March 27, 2017

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Suppose you would like to cross a 204 ft wide river in a boat. Assume that the boat can travel 37 mph relative to the water and the current is flowing westbat a rate of 6mph. What bearing should be chosen so that the boat will land at a point exactly across from the starting point?

  • Trig - ,

    Aim upstream at angle
    A = sin^-1(6/37) = 9.3 degrees

    The upstream component of the boat's velocity relative to the water will then cancel out the river's flow speed.

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