Plot the point on the polar coordinate system.
$(5,210°)$

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Identify the polar coordinates given: (5, 210°). This means the point is 5 units away from the origin at an angle of 210° from the positive x-axis.
2. Convert the angle from degrees to radians if necessary. Since 210° is a common angle, it can be converted to radians as 210° = \( \frac{7\pi}{6} \) radians.
3. Locate the angle \( \frac{7\pi}{6} \) on the polar coordinate system. This angle is in the third quadrant, as it is more than \( \pi \) (180°) but less than \( \frac{3\pi}{2} \) (270°).
4. From the origin, measure a distance of 5 units along the direction of the angle \( \frac{7\pi}{6} \).
5. Plot the point at this location. The correct plot should be in the third quadrant, 5 units from the origin, along the line corresponding to \( \frac{7\pi}{6} \).