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physics

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A cyclist starts from point X and rides 3 km due west to point Y. At Y he changes direction and rides 5km north-west to point Z.
(a) hw far is he from the starting point, correct to the nearest km?
Find the bearing of the Z frm X to the nearest degree?

  • physics -

    The angle XYZ = 135o
    According to the Cosine Law
    ZX=sqr(XY^2+YZ^2-2•XY•YZ•cos135)
    =sqr(9+25+30 (-0.707))= 7.43 km ≈7 km.

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