Modeling with periodic functions. A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. A model for this situation can be represented by the 27 20 cos 8 function h(t) = + 25 . How many minutes of the ride are spent higher than 41 meters above the ground? Note: If your calculated answer is a decimal, give no more than 2 decimal places in your answer. minutes

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.6: Modeling Harmonic Motion
Problem 42E
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Modeling with periodic functions. A Ferris wheel is 40 meters in diameter and boarded from a platform that
is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 8 minutes. A model for this situation can be represented by the
function h(t) =
- 20 cos
8
+ 25 .
How many minutes of the ride are spent higher than 41 meters above the ground? Note: If your calculated
answer is a decimal, give no more than 2 decimal places in your answer.
minutes
Transcribed Image Text:Modeling with periodic functions. A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. A model for this situation can be represented by the function h(t) = - 20 cos 8 + 25 . How many minutes of the ride are spent higher than 41 meters above the ground? Note: If your calculated answer is a decimal, give no more than 2 decimal places in your answer. minutes
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