Answer
Since $r \gt 0$ and $\theta$ is an angle of $30^{\circ}$ below the positive x-axis, the point is in quadrant IV.
Work Step by Step
$(6,-30^{\circ})$
$r = 6$ and $\theta = -30^{\circ}$
Since $r \gt 0$ and $\theta$ is an angle of $30^{\circ}$ below the positive x-axis, the point is in quadrant IV.