The height of a certain gondola on a Ferris Wheel as it rotates can be modeled using the cosine
function. The Skyview Ferris Wheel in Atlanta is 200 feet tall at its highest point and has 42
gondolas. Each ride lasts 15 minutes and makes 4 full rotations. If you are 4 feet from the ground
when you enter the gondola, which of the following cosine functions would represent your height
above the ground? Express the model as a function of time, t, in minutes.
(1 point)
h (t) = 98 cos( 3.75
2x_t)+ 100
h(t)= -98cos(35t) +102
h(t) =- 100cos(張t)+104
h(t) = -98cos(2rt) +102
h(t) = -98cos(2πt) + 102
This cosine function represents the height above the ground as a function of time, t, in minutes. The amplitude is 98, the vertical shift is 102, and the period is 1 minute (since the ride lasts 15 minutes and makes 4 full rotations).