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Collin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions.

 Collin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.7 radions per minute and has a radius of 50 feet. The center of the Ferris wheel is 56 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.

 a. Write an expression (in terms of t) to represent the varying number of rodians Collin has swept out since the ride started.

 b. Write an expression (in terms of t) to represent Collin's height (in feet) above the center of the Ferris wheel.

 c. Write an expression (in terms of t) to represent Collin's height (in feet) above the ground.


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