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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 57E
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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.

  1. 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.
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