Answer
$130^{\circ}$
Work Step by Step
We have the value of $\vec{d}$ as;
$\vec{d}=(-40.4\hat{i}+47.4\hat{j})\ m $
The direction of the vector is:
$\theta = tan^{-1}(\frac{r_{y}}{r_{x}})$
$\theta = tan^{-1}(\frac{47.4\ m}{-40.4\ m})$
$\theta =-50^{\circ}+180 = 130^{\circ}$ with the +ve x axis
