Show Intro/Instructio A Ferris wheel has a 50-foot radius and the center of the Ferris wheel is 58 feet above the ground The Ferris wheel rotates in the CCW direction at a constant angular speed of 2 radians per minute. Bill 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 Bill has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Bill to complete one full revolution (rotation)? minutes Preview c. Let 0 be the angle (in radians) Bill has rotated CCW from 3 o'clock. Write a function h that determine's Bill's height above the ground (in feet) in terms of 0. Preview h(0) d. Write a function f that determine's Bill's height above the ground (in feet) in terms of t. f(t)= Preview

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 78E: Velocity Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour....
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Show Intro/Instructio
A Ferris wheel has a 50-foot radius and the center of the Ferris wheel is 58 feet above the
ground The Ferris wheel rotates in the CCW direction at a constant angular speed of 2 radians
per minute. Bill 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 Bill has swept out
from the 3-o'clock position since the ride started.
Preview
b. How long does it take for Bill to complete one full revolution (rotation)?
minutes
Preview
c. Let 0 be the angle (in radians) Bill has rotated CCW from 3 o'clock. Write a function h
that determine's Bill's height above the ground (in feet) in terms of 0.
Preview
h(0)
d. Write a function f that determine's Bill's height above the ground (in feet) in terms of t.
f(t)=
Preview
Transcribed Image Text:Show Intro/Instructio A Ferris wheel has a 50-foot radius and the center of the Ferris wheel is 58 feet above the ground The Ferris wheel rotates in the CCW direction at a constant angular speed of 2 radians per minute. Bill 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 Bill has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Bill to complete one full revolution (rotation)? minutes Preview c. Let 0 be the angle (in radians) Bill has rotated CCW from 3 o'clock. Write a function h that determine's Bill's height above the ground (in feet) in terms of 0. Preview h(0) d. Write a function f that determine's Bill's height above the ground (in feet) in terms of t. f(t)= Preview
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