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.
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(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 - .
(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.