Porter boarded an empty seat on a Ferris wheel when the seat was located at the 3 o’clock position. After riding counter-clockwise for several seconds the motor on the Ferris wheel stopped and Porter was stranded. A gauge on the Ferris wheel indicated that Porter had rotated 22% of a complete rotation. The length of the Ferris wheel arms (or the radius of the Ferris wheel) was 93 feet.Define a function f to model Porter’s height (in radii) above the horizontal line through the center of the Ferris wheel as a function of the measure of the angle of rotation (in radians) from the 3 o’clock position.Construct a graph of the function you created in 1. Discuss the meaning of key points of the graph of f.Locate and label the point of the graph that represents porters' position when he was stranded and explain what the point represents.Label the horizontal intercepts in this graph and explain what these points represent in the context of this problem.

r = radius of the ferris wheel = 93feet. To find: height of the person as a function of angle θ…

Answered: Porter boarded an empty seat on a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.3: Trigonometric Functions Of Real Numbers

Problem 67E

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Porter boarded an empty seat on a Ferris wheel when the seat was located at the 3 o’clock position. After riding counter-clockwise for several seconds the motor on the Ferris wheel stopped and Porter was stranded. A gauge on the Ferris wheel indicated that Porter had rotated 22% of a complete rotation. The length of the Ferris wheel arms (or the radius of the Ferris wheel) was 93 feet.

Define a function f to model Porter’s height (in radii) above the horizontal line through the center of the Ferris wheel as a function of the measure of the angle of rotation (in radians) from the 3 o’clock position.
Construct a graph of the function you created in 1.
Discuss the meaning of key points of the graph of f.
Locate and label the point of the graph that represents porters' position when he was stranded and explain what the point represents.
Label the horizontal intercepts in this graph and explain what these points represent in the context of this problem.

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