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March 27, 2017

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A cruise ship's captain sets the ship's velocity to be 26 knots at a heading of 080 degrees. The current is flowing toward a bearing of 153 degrees at a speed of 8 knots.

What is the ground velocity of the cruise ship?

  • Calculus - ,

    I see a triangle with sides 26 and 8 and the contained angle of 73°
    The side opposite the 73° angles is the resultant
    then
    v^2 = 26^2 + 8^2 - 2(26)(8)cos 73°

    take it from there

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