Which information is NOT needed to find the sinusoidal equation that models this situation? 30 feet to the right of our frame of reference isnot needed because we are modeling heightabove the ground not distance from ourreference.15 seconds is not needed because we aremodeling with a sinusoidal function andeverything needs to be scaled by T.The diameter of 20 feet is not needed becausewe are modeling the distance from the center ofthe Ferris wheel and the diameter does not help.23 feet above the ground is not needed becausewe are modeling height with respect to time andthe Ferris wheel is always moving.All of the information is important in modelingthis situation with a sinusoidal equation. As you ride a Ferris wheel moving counter-clockwise at aconstant rate, your distance from the ground variessinusoidally with time. You are the last seat to be filled atthe bottom of the Ferris wheel and then it starts. Let yourseat be point P located on the circumference of the Ferriswheel. Let t be the number of sec-onds that have elapsedsince the Ferris wheel started. You find that it takes you 15seconds for point P to reach the top, 23 feet above theground. The diameter of the wheel is 20 feet. The center ofthe Ferris wheel is located 30 feet to the right of ourdesignated frame of reference. You are to model thedistance d of point P from the ground.

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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.

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.

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

Which information is NOT needed to find the sinusoidal equation that models this situation?

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.

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