Imagine a Ferris wheel for which the height of a rider(in feet) above the ground, after riding on the Ferris wheel for t seconds since passing the farthest right position on the wheel, is given by h(t)=45 sin(30t)+60. 1. Height of the center of the wheel: 2. Period of rotation of the wheel: 3. radius of the wheel: 4. Angular speed of the wheel: 5. Direction of motion. clockwise or counterclockwise. 6. Sketch a graph of this function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 67E
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Imagine a Ferris wheel for which the height of a rider(in feet) above the ground, after riding on the Ferris wheel for t seconds since passing the farthest right position on the wheel, is given by h(t)=45 sin(30t)+60.

1. Height of the center of the wheel:

2. Period of rotation of the wheel:

3. radius of the wheel:

4. Angular speed of the wheel:

5. Direction of motion. clockwise or counterclockwise.

6. Sketch a graph of this function.

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