Answer
$(-4.98, -3.85)$
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 $r=6.3$ and $ \theta= 3.8$
Plug these values in equation (1) to obtain:
$x=(6.3) \cos(3.8) \approx -4.98 \\
y=(6.3) \sin(3.8) \approx -3.85$
Therefore, the point has coordinates $(-4.98, -3.85)$ in the rectangular coordinate system.
