Question 14
Triangle $OAB$ has $O=(0,0),$ $B=(5,0),$ and $A$ in the first quadrant. In addition, $\angle ABO=90^\circ$ and $\angle AOB=30^\circ.$ Suppose that $\overline{OA}$ is rotated $90^\circ$ counterclockwise about $O.$ What are the coordinates of the image of $A?$