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Question 52 (8 points) The Ferris wheel pictured has a diameter of 22 m, and the lowest point on the wheel sits 1 m above

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Question 52 (8 points) The Ferris wheel pictured has a diameter of 22 m, and the lowest point on the wheel sits 1 m above the ground. Aziz boards the Ferris wheel at a height of 12 m above the ground. The wheel rotates in the direction shown in the picture: Aziz is rotated downward first before rising to the top. It takes 40 seconds for the Ferris wheel to complete one full rotation. 1) Create a sine or cosine equation (your choice) modelling Aziz's height above the ground, h (in meters), t seconds after the wheel begins rotating with him aboard. Note: your equation must be based in radians, not degrees. (4 marks) 2) Use your equation to find Aziz's height after 3 minutes. (2 marks) 3) At what times during the first rotation will Aziz be 20 m above the ground? (2 marks) Question 52 (8 points) The Ferris wheel pictured has a diameter of 22 m, and the lowest point on the wheel sits 1 m above the ground. Aziz boards the Ferris wheel at a height of 12 m above the ground. The wheel rotates in the direction shown in the picture: Aziz is rotated downward first before rising to the top. It takes 40 seconds for the Ferris wheel to complete one full rotation. 1) Create a sine or cosine equation (your choice) modelling Aziz's height above the ground, h (in meters), t seconds after the wheel begins rotating with him aboard. Note: your equation must be based in radians, not degrees. (4 marks) 2) Use your equation to find Aziz's height after 3 minutes. (2 marks) 3) At what times during the first rotation will Aziz be 20 m above the ground? (2 marks)

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