Juan is riding on a circular Ferris wheel that has a 61-foot radius and whose bottom is 10 feet above the ground. After boarding the Ferris wheel, he traveled a distance of 50.9 feet along the arc before the Ferris wheel stopped for the next rider. a) Make a drawing of the situation and illustrate and relevant quantities. b) Write a formula that expresses Juan’s horizontal distance to the right of the center of the track (in meters), ℎ, in terms of the number of meters, ?, that Juan has traveled since he boarded. c) Write a formula that expresses Juan’s vertical distance to the right of the center of the track (in meters), ℎ, in terms of the number of meters, ?, that Juan has traveled since he boarded. d) When Juan stops, how many feet to the right of the center of the Ferris wheel is he? e) When Juan stops, how many feet above the center of the Ferris wheel is he?
Juan is riding on a circular Ferris wheel that has a 61-foot radius and whose bottom is 10 feet above the
ground. After boarding the Ferris wheel, he traveled a distance of 50.9 feet along the arc before the Ferris
wheel stopped for the next rider.
a) Make a drawing of the situation and illustrate and relevant quantities.
b) Write a formula that expresses Juan’s horizontal distance to the right of the center of the track (in
meters), ℎ, in terms of the number of meters, ?, that Juan has traveled since he boarded.
c) Write a formula that expresses Juan’s vertical distance to the right of the center of the track (in
meters), ℎ, in terms of the number of meters, ?, that Juan has traveled since he boarded.
d) When Juan stops, how many feet to the right of the center of the Ferris wheel is he?
e) When Juan stops, how many feet above the center of the Ferris wheel is he?
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