SOLUTION: Josie is sitting on a Ferris wheel. She is exactly 20 feet from the center and is at the 3 o'clock position when the Ferris wheel begins moving. Suppose Josie has traveled 255 feet

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Question 1102424: Josie is sitting on a Ferris wheel. She is exactly 20 feet from the center and is at the 3 o'clock position when the Ferris wheel begins moving. Suppose Josie has traveled 255 feet from the 3 o'clock position. How high is Josie above the horizontal diameter (in feet)?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Josie is going around in a circle of 20 feet radius.
One whole turn is 2pi%2A20ft=about125.6637ft .
After traveling 255ft, Josie has circled
255ft%2F%22125.6637+ft%22=2.029turns .
That puts Josie 0.029 turns away from where she was at her starting 3 o'clock position.
That would be approximately 0.029 radians away,
0.029%2A20ft=0.58ft of arc away,
and approximately 0.58ft above or below the position where she started.
As she started at 3 o'clock that is on a horizontal line to the right of the center,
shew would be about 0.58ft above or below the horizontal.
It all depends on which way the wheel was turning.
Anyway 3 o'clock from the side I am looking at is not 3 o'clock as seen from the other side.
The last Ferris wheel I saw, I think 3 o'clock from boarding side moved up.