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A ship at A is to sail to C, 56km north and 258km east of A. After sailing N25°10’E for 120mi to P, the ship is headed toward C. Find the distance of P from C and the required course to mean C.

  • trigonometry -

    duplicate question.

    Call the vector from B to C "v2"
    Call the vector from the starting point to C "v3".
    v3 = 56 j + 258 i
    Call the first leg of the voyage, from A to B, "v1"

    Perform the vector operation
    v2 = v3 - v1

    The magnitude and direction of v2 will be your answer.

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