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March 25, 2017

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A boat is 23 mi due west of lighthouse A. Lighthouse B is 14 mi due north of lighthousenA. Find the bearing of lighthouse B from the boat and the distance from lighthousenB tho the boat.

  • trig - ,

    X = -23 Mi.
    Y = 14 Mi.

    tanA = Y/X = 14/-23 = -0.60870
    A = -31.33o,CW = 148.7o,CCW.

    D = X/cosA = -23/cos148.7 = 26.9 Mi

    Bearing = 148.7 - 90 = 58.7o.

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