Zoe is on in carousel at the carnival. the diameter of the carousel is 80feet. find the position of her seat from the center of the carousel after a rotation of 210.

  (–34.6, –20)

Step-by-step explanation:

Let the center of the carousel represent the origin on the coordinate plane and Zoe’s position after the 210° rotation have coordinates (x, y ). The definitions of sine and cosine can then be used to find the values of x and y . The value of r is 80 ÷ 2 or 40.

The seat rotates 210o, so the reference angle is 210o – 180o or 30o. Because the final position of the seat corresponds to Quadrant III, the sine and cosine of 210° are negative.

Therefore, the position of her seat relative to the center of the carousel is

(–34.6, – 20).

8496 cars

step-by-step explanation: