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50. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.

50. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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50. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.
Transcribed Image Text:50. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.
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