Question
Suppose you walk 18.0 m 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? (If you represent the two legs of the walk as vector displacements $\vec{A}$ and $\vec{B}$ , as in Figure 3.53, then this problem asks you to find their sum $\vec{R} = \vec{A} + \vec{B}$ .)
Question Image
$30.8 \textrm{ m, } 54.2^\circ \textrm{ N of W}$
It's a bit unclear how to interpret what the question means by "compass direction". According to Wikipedia, an "absolute bearing" on a compass is measured in the clockwise direction starting from North, in which case this answer would have an absolute bearing of $324.2^\circ$. Other systems of measuring with a compass require being specific about which cardinal direction one is measuring with respect to.
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