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Math Help - Finding the Bearing of an Angle...

  1. #1
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    Finding the Bearing of an Angle...

    The question is this; In the diagram X, Y and Z represent the locations of three towns. The town Y is due eat of X and the bearing of Z from Y is 046degrees
    Finding the Bearing of an Angle...-question.png
    I have done section i and ii
    (correct me if i am wrong)
    for
    i) Angle, xyz = 90 + 46 = 136 degrees.
    ii) Then i use Cosine rule to find a side which the side equals 37.1km.
    iii) However this is where i have become stuck... this is due in 5 days so i have time but its the weekend, and i dont have math those days... can anyone explain this to me thanks
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  2. #2
    MHF Contributor

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    Re: Finding the Bearing of an Angle...

    Imagine a vertical line from z "south". That will be parallel to the vertical line from y "north" and, by the "alternate interior angles" theorem for parallel lines, the angle from "south" to the line yz s also 46 degrees. Add 180 degrees to get the bearing (from "north").
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