The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in $X-Y$ plane by an angle $\theta = 30^{\circ}$ such that point $P$ occupies position $Q$, as shown in the figure. The coordinates $(x,y)$ of $Q$ are

1. $(13.40,22.32)$
2. $(22.32, 8.26)$
3. $(12.32, 18.66)$
4. $(18.66, 12.32)$