A Ferris wheel has a 42-foot radius and the center of the Ferris wheel is 48 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Ian 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 Ian has swept out from the 3-o'clock position since the ride started. 3t Preview b. How long does it take for Ian to complete one full revolution (rotation)? 2.0943951 v minutes Preview c. Write an expression (in terms of t) to represent Ian's height above the center of the Ferris wheel (in feet). 42 sin 3t Preview d. Write a function f that determine's Ian's height above the ground (in feet) in terms of t. f(t) 48 + 42 sin 3t Preview

A Ferris wheel has a 42-foot radius and the center of the Ferris wheel is 48 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Ian 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 Ian has swept out from the 3-o'clock position since the ride started. 3t Preview b. How long does it take for Ian to complete one full revolution (rotation)? 2.0943951 v minutes Preview c. Write an expression (in terms of t) to represent Ian's height above the center of the Ferris wheel (in feet). 42 sin 3t Preview d. Write a function f that determine's Ian's height above the ground (in feet) in terms of t. f(t) 48 + 42 sin 3t Preview

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 10RE

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