20. A Ferris wheel of diameter 20 m rotates at a rate of 0.2 rad/sec. a) If a passenger boards at the lowest point of 2.5 m above the ground, determine a cosine function that models the height (h) of the passenger above the ground, in metres, as a function of time (t), in seconds. b) If the Ferris wheel makes two-thirds of a rotation, how far has the passenger traveled?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 49E
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Can you please answer the attached grade 12 advance functions math equation on paper and please make sure it's correct. I'll make sure to thumbs up if it's on paper.

20. A Ferris wheel of diameter 20 m rotates at a rate of 0.2 rad/sec.
a) If a passenger boards at the lowest point of 2.5 m above the ground, determine a cosine function that models the height
(h) of the passenger above the ground, in metres, as a function of time (t), in seconds.
b) If the Ferris wheel makes two-thirds of a rotation, how far has the passenger traveled?
Transcribed Image Text:20. A Ferris wheel of diameter 20 m rotates at a rate of 0.2 rad/sec. a) If a passenger boards at the lowest point of 2.5 m above the ground, determine a cosine function that models the height (h) of the passenger above the ground, in metres, as a function of time (t), in seconds. b) If the Ferris wheel makes two-thirds of a rotation, how far has the passenger traveled?
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