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

Question

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.

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Parker 7 days 2021-09-10T09:16:44+00:00 1 Answer 0

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    2021-09-10T09:18:15+00:00

    Answer:   (–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).

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