Answer
$(3.79, -7.16)$
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 $r=8.1$ and $ \theta= 5.2$
Plug these values in equation (1) to obtain:
$x=(8.1) \cos(5.2) \approx 3.79 \\
y=(8.1) \sin(5.2) \approx -7.16$
Therefore, the pointhas coordinates $(3.79, -7.16)$ in the rectangular coordinate system.
