As you ride a Ferris wheel moving counter-clockwise at a constant rate, your distance from the ground varies sinusoidally with time. You are the last seat to be filled at the bottom of the Ferris wheel and then it starts. Let your seat be point P located on the circumference of the Ferris wheel. Let t be the number of sec-onds that have elapsed since the Ferris wheel started. You find that it takes you 15 seconds for point P to reach the top, 23 feet above the ground. The diameter of the wheel is 20 feet. The center of the Ferris wheel is located 30 feet to the right of our designated frame of reference. You are to model the dictan ce dof noint D from the qround

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Which info is NOT needed to find the equation modeling the situation of the Ferris Wheel? Explain.

30 feet to the right of our frame of reference is
not needed because we are modeling height
above the ground not distance from our
reference.
15 seconds is not needed because we are
modeling with a sinusoidal function and
everything needs to be scaled by T.
The diameter of 20 feet is not needed because
we are modeling the distance from the center of
the Ferris wheel and the diameter does not help.
23 feet above the ground is not needed because
we are modeling height with respect to time and
the Ferris wheel is always moving.
All of the information is important in modeling
this situation with a sinusoidal equation.
Transcribed Image Text:30 feet to the right of our frame of reference is not needed because we are modeling height above the ground not distance from our reference. 15 seconds is not needed because we are modeling with a sinusoidal function and everything needs to be scaled by T. The diameter of 20 feet is not needed because we are modeling the distance from the center of the Ferris wheel and the diameter does not help. 23 feet above the ground is not needed because we are modeling height with respect to time and the Ferris wheel is always moving. All of the information is important in modeling this situation with a sinusoidal equation.
As you ride a Ferris wheel moving counter-clockwise at a
constant rate, your distance from the ground varies
sinusoidally with time. You are the last seat to be filled at
the bottom of the Ferris wheel and then it starts. Let your
seat be point P located on the circumference of the Ferris
wheel. Let t be the number of sec-onds that have elapsed
since the Ferris wheel started. You find that it takes you 15
seconds for point P to reach the top, 23 feet above the
ground. The diameter of the wheel is 20 feet. The center of
the Ferris wheel is located 30 feet to the right of our
designated frame of reference. You are to model the
distance d of point P from the ground.
Transcribed Image Text:As you ride a Ferris wheel moving counter-clockwise at a constant rate, your distance from the ground varies sinusoidally with time. You are the last seat to be filled at the bottom of the Ferris wheel and then it starts. Let your seat be point P located on the circumference of the Ferris wheel. Let t be the number of sec-onds that have elapsed since the Ferris wheel started. You find that it takes you 15 seconds for point P to reach the top, 23 feet above the ground. The diameter of the wheel is 20 feet. The center of the Ferris wheel is located 30 feet to the right of our designated frame of reference. You are to model the distance d of point P from the ground.
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