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Math Help - problem solving with triangles.

  1. #1
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    problem solving with triangles.

    1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.
    Last edited by jimC; July 20th 2008 at 03:06 PM.
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  2. #2
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    1)If I head across a river paddling my canoe at 6km/h N, but the river current is moving at 3km/h E, determine the speed and direction of my canoe relative to the shore.

    This is simply a vector addition problem. The resultant vector will be the hypotenuse of the right triangle you construct as well as its direction.

    The math bit:   6^2 + 3^2 = h^2

    So,  36 + 9 = h^2

     h^2 = 45

    We are only concerned with the positive root. Thus, h =  \sqrt{45}

    So, your speed and direction is  3\sqrt{5} km/h NE .

    -Andy
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