SOLUTION: A ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platfo

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Question 1197194: A ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).

f(t) =
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Ferris Wheel where h = f(t) is height from ground after a period of time
In General:  h = radius+platform height   -  r*cos(2πt/time for full revolution)

 A Ferris wheel is 15 meters in diameter,  ( r = 7.5m)
boarded from a platform that is 5 meters above the ground.
 completes 1 full revolution in 8 minutes

  h = f(t) = 12.5 + 7.5cos(πt/4)
Note: at 0 min, h  = 12.5-7.5 = 5m
      at 4 min, h = 12.5m + 7.5m = 20m ( The diameter + the Platform Height)
Wish You the Best in your Studies.


Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Equation in the post by @ewatttr is incorrect. 

A correct form equation is    h = f(t) = 12.5+-+7.5%2Acos%28%28pi%2At%29%2F4%29.            ANSWER