SOLUTION: A ferris wheel is 24m in diameter and boardered from a platform that is 1m above ground. People enter the loading platform which is at height of 1m. The wheel completes 1 revolutio

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Question 1204493: A ferris wheel is 24m in diameter and boardered from a platform that is 1m above ground. People enter the loading platform which is at height of 1m. The wheel completes 1 revolution in 10mins.
A.) Find amplitude, median, and period.
B.) Make equation for height function (ht)
C.) For how long during a cycle are you above 20m height ?
Answer by ikleyn(52781) About Me  (Show Source):
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a ferris wheel 24 m in diameter and boardered from a platform that is 1m above ground.
people enter the loading platform which is at 1m. the wheel completes 1 revolution in 10mins.
Use h(t) as height and t as time.
(A) Find the amplitude, median, and period.
(B) Make a cosine equation using h(t) to represent the situation.
(C) For how long during one cycle (period) was the height above 20m.
~~~~~~~~~~~~~~~~~~~~~~~ 

(A)  amplitude = 24/2 = 12 m (the radius of the wheel).

     median is the line y = 13 meters = 12 m + 1 m.  (another name is midline).

     period = 10 minutes. 



(B)  Equation is

        h(t) = 13 - 12%2Acos%282pi%2A%28t%2F10%29%29.



(C)  regarding (C),  see my solution to the "sister"-problem at this link

     https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1204504.html

All questions are answered.