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A cross country race course on flat ground has runners heading from point A for 3.5 km on a bearing of 047degT to point B. From point B they turn and run for 2.8 km on a bearing of 342degT to point C. They then run back to point A.

Determine the Distance from C back to A.

  • geometry - ,

    they run on a heading, not a bearing.

    Starting at (0,0)
    3.5 at 47° = (2.56,2.39)
    2.8 at 342° = (-0.87,2.66)

    Add them together to see that C is at (1.49,5.05)

    CA = √(1.49^2+5.05^2) = 5.27

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