18. A Ferris wheel is standing 4 feet up from the concrete floor of a park. Its diameter is measured as 26 feet and the wheel rotates once every 32 seconds. If you start the ride sitting in a chair that is 6 feet above the ground, how high will you be 10 seconds after the wheel starts moving? During the first minute, when will you be 20 feet high? (Hint: start by modelling the wheel's movement as a trigonometric function.)

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