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. $(18.66, 12.32)$