A Ferris wheel has a 46-foot radius and the center of the Ferris wheel is 50 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Micah 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 Micah has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Micah to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Micah's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Micah's height above the ground (in feet) in terms of t. f(t) = Preview

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
Problem 93PS: Find the angle of elevation of a rifle barrel, if a bullet fired at 1,500 feet per second takes 2...
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A Ferris wheel has a 46-foot radius and the center of the Ferris wheel is 50 feet above the ground. The Ferris wheel rotates in the CCW direction
at a constant angular speed of 3 radians per minute. Micah 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 Micah has swept out from the 3-o'clock position since the ride
started.
Preview
b. How long does it take for Micah to complete one full revolution (rotation)?
minutes
Preview
c. Write an expression (in terms of t) to represent Micah's height above the center of the Ferris wheel (in feet).
Preview
d. Write a function f that determine's Micah's height above the ground (in feet) in terms of t.
f(t) =
Preview
Transcribed Image Text:A Ferris wheel has a 46-foot radius and the center of the Ferris wheel is 50 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Micah 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 Micah has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Micah to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Micah's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Micah's height above the ground (in feet) in terms of t. f(t) = Preview
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