SOLUTION: Ive been struggling for days to get the answer to this question: A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation i

Question 638584: Ive been struggling for days to get the answer to this question:
A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds.
I had to draw it and I think that is right, but I am not sure how to determine a sine function that expresses my height. when h is a function of elapsed time t.
I got h= -20sinpie/18(t)+22
And I am lost when they ask to determine my height above the ground after 15 seconds algebraically
and the the nearest tenth when my height is 38 m above the ground algebraically.
Please help. I can't do that following questions because I think my equation and graph is wrong! Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds.
I had to draw it and I think that is right, but I am not sure how to determine a sine function that expresses my height. when h is a function of elapsed time t.
------------------
The eqn of the rotation is h(t) = 20*sin(2pi*t/36)
Add 2 for the ground clearance, and 20 for the center 20 m above ground.
--> h(t) = 20sin(pi*t/18) + 22
t in seconds, h in meters
---------------
h(15) = 20*sin(15*pi/18) + 22
= 32 meters
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