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The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving.

(a) What is the period of the function?

(b) What is the amplitude of the function?

(c) What is the midline of the function?

(d) Sketch the first two periods of the graph of the function.

Plot and label the key points of the graph. Label each axis with an appropriate scale.

Show your work.

 May 7, 2021
 #1
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Congratulations on your last assignment :))

The period is 40 seconds, since it completes one revolution every 40 seconds. 

The amplitude is 50 feet, since the distance between the lowest and highest points of the Ferris wheel is 100 feet.

The midline is 55 feet, since the center of the Ferris wheel is 55 feet above the ground. 

Can you graph it from here?

 

=^._.^=

 May 7, 2021

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