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A Ferris wheel has a 116-foot diameter and the center of the Ferris wheel is 62 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 5 radians per minute. Jacob boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Jacob has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Jacob to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Jacob's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Jacob's height above the ground (in feet) in terms of t. f(t) = Preview

A Ferris wheel has a 116-foot diameter and the center of the Ferris wheel is 62 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 5 radians per minute. Jacob boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Jacob has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Jacob to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Jacob's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Jacob's height above the ground (in feet) in terms of t. f(t) = Preview

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
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A Ferris wheel has a 116-foot diameter and the center of the Ferris wheel is 62 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 5 radians per minute. Jacob boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Jacob has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Jacob to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Jacob's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Jacob's height above the ground (in feet) in terms of t. f(t) = Preview
Transcribed Image Text:A Ferris wheel has a 116-foot diameter and the center of the Ferris wheel is 62 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 5 radians per minute. Jacob boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Jacob has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Jacob to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Jacob's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Jacob's height above the ground (in feet) in terms of t. f(t) = Preview
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