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A) Using a well labelled sketch diagram, calculate the bearing and the distance of Z from Y. b) Calculate the bearing of Z from Y.

Mathematics

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a) Using a well labelled sketch diagram, calculate the bearing and the distance of Z from Y.

  1. Draw a sketch diagram and identify the known values.

    Let Y be the origin (0,0)(0,0).
    X is 200m to the south of Y, so X is at (0,−200)(0, -200).
    Z is 200m from X on a bearing of 310∘310^\circ.

  2. Calculate the angle ∠YXZ\angle YXZ.

    From X, the direction to Y is North (0∘0^\circ).
    The bearing of Z from X is 310∘310^\circ.
    The angle between the North line (XY) and the

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