Answer
$ \vec{r} = 131\hat{i} + 92\hat{j} \ \ km$
Work Step by Step
We know that your x position is given by:
$ x = rcos \theta$
and that your y position is given by:
$ y = rsin \theta$
We plug in 35 for theta and 160 km for r to have:
$ \vec{r} = 131\hat{i} + 92\hat{j} \ \ km$
