Answer
See image:
Work Step by Step
Conversion formulas: $\left\{\begin{array}{ll}
(x,y)=(r\cos\theta,r\sin\theta) & \\
r^{2}=x^{2}+y^{2}, & \tan\theta=\frac{y}{x}
\end{array}\right.$
The angle is any angle between $0$ and $\pi/6$ (1st quadrant) and the directed distance r is positive, so only points in the 1st quadrant are involved.
$\theta=0$ is the +x axis ray,
$\theta=\pi/6$ is the ray on the line $y=(\displaystyle \tan\frac{\pi}{6})x$, from the origin into the 1st quadrant.