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)

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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Question

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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