Rotations Problem Set

Springtime has arrived and the carnival has come to town. The main attraction at the carnival is the Super Jumbo Ferris Wheel. The Ferris wheel is 443 feet tall and has 32 cars. You see that it is currently stopped to allow more riders to board. The car at the bottom of the Ferris wheel is Car 1. When the Ferris wheel moves again, the next car that will approach the loading area is Car 2, and the car after that is Car 3.

• What is the angle of rotation that a car travels when it moves one position counterclockwise? Explain how you reached the solution.
• How many positions does Car 15 have to move to reach the loading area where Car 1 is?
• Determine the angle of rotation that will bring Car 15 to the position of Car 1 where the loading area is.

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