Answer
$(-2.57,7.05 )$
Work Step by Step
The point $(x,y)$ in the rectangular coordinate system can be expressed as:
$x=r \ \cos(\theta)$, $y=r \ \sin(\theta) ...(1)$
Here, we have $r=7.5$ and $ \theta= 110^{\circ}$
Plug these values in equation (1) to obtain:
$x=(7.5) \cos(110^{\circ}) \approx -2.57 \\
y=(7.5) \sin(110^{\circ}) \approx 7.05$
Therefore, the point has coordinates $(-2.57,7.05 )$ in the rectangular coordinate system.
