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The Ferris wheel at Navy Pier has a diameter of 140 feet. It stands 10 feet off the ground. The wheel has 40 gondolas that seat six passengers each. It takes about 6 minutes for the Navi Pier Ferris wheel to complete one rotation.
Draw a diagram of the Navy Pier Ferris wheel and the boarding platform. Fill in the necessary information. Sketch the graph.
Write a cosine equation for your curve. Write a sine equation for your curve. Answer the following questions:
i. What is the circumference of the wheel?
ii. At what speed is the wheel traveling? Please answer in feet / second.
iii. If you begin your ride at the base of the wheel, what is the height after 1 minute? 4 minutes?
iv. At what approximate time(s) will you reach the following heights? a) 100 ft b) 240 ft
What is the length of the arc traveled by the Navy Pier Ferris wheel from the 4 o'clock to the 7 o'clock position?
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