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Suppose you walk 18.0m straight west and then 25.0 m straight north. How far are you from your starting point and what is the compass direction of a line connecting your starting point to your final position>

  • Physics -

    Draw a diagram. Your trip forms the legs of a right triangle with legs 18 and 25.

    So, the final displacement is √(18^2+25^2) = 30.8

    The angle θ is such that
    tanθ = 25/-18 = 125.75° or -234.25°

    The compass bearing is 90°-θ = 324.25°

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