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Math Help - vector prob

  1. #1
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    vector prob

    A child walks due east on the deck of a ship at 1 miles per hour.
    The ship is moving north at a speed of 10 miles per hour.

    Find the speed and direction of the child relative to the surface of the water.
    i was able to find the speed: sqrt(10^2+1^2) = 10.05

    need help finding "The angle of the direction from the north" in radians
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  2. #2
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    Quote Originally Posted by viet View Post
    i was able to find the speed: sqrt(10^2+1^2) = 10.05

    need help finding "The angle of the direction from the north" in radians
    Do you see why the angle from EAST is \arctan \frac{10}{1}? The angle from NORTH is 90 degrees minus the angle from EAST.
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