Question

Vector v has a direction of (-4,27) find the direction angle for v

Answer 1

$\bf \begin{array}{lclll} \ \textless \ &-4&,&27\ \textgreater \ \\ &\uparrow &&\uparrow \\ &a&&b \end{array}\qquad tan(\theta)=\cfrac{b}{a}\implies \measuredangle \theta=tan^{-1}\left( \frac{b}{a} \right) \\\\\\ \measuredangle \theta=tan^{-1}\left( \frac{27}{-4} \right)$