Posted by **Elizabeth** on Monday, December 10, 2012 at 11:46pm.

A ferris wheel is 30 meters in diameter and boarded in the six o'clock position from a platform that is 10 meters above the ground. The wheel completes one full revolution every 10 minutes. At the initial time t=0 you are in the twelve o'clock position.Find a formula, using the cosine function, for your height above ground after t minutes on the ferris wheel.

- Math -
**Steve**, Monday, December 10, 2012 at 11:55pm
at the top when t=0, so no phase shift

h = Acos(at)+k

center of wheel is at 10+30/2 = 25, so

h = Acos(at)+25

wheel radius is 15, so

h = 15cos(at)+25

period = 10, so use 2π/10

h = 15cos(πt/5)+25

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