Math Analysis

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Can someone help me with this problem, please? Thanks!!

"A ship leaves port and sails for 2 hours northeast and then 3 hours northwest. If the speed remains constant, what course should the ship take home?"

  • Math Analysis -

    make a sketch, you should have a right-angled triangle with sides 2 and 3 and the angle of 90° between the 2 and 3.
    Mentally you should be able to calculate the hypotenuse to be √13

    That would be the time to get back.
    Find the angle at the top of the triangle by
    tan A = 2/3
    A = 33.69°
    By laying a NSEW direction pattern over point A, you would have a bearing of 168.69°

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