The correct cosine function that represents your height above the ground is:
h(t)=98cos(2π7.5t)+102
This model takes into account the starting height of 4 feet, the maximum height of 200 feet, and the number of rotations made in the ride.
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) Responses h(t)=98cos(2π3.75t)+100 h of t is equal to 98 cosine open paren 2 pi over 3 point 7 5 t close paren plus 100 h(t)=−98cos(2π3.75t)+102 h of t is equal to negative 98 cosine open paren 2 pi over 3 point 7 5 t close paren plus 102 h(t)=−100cos(2π15t)+104 h of t is equal to negative 100 cosine open paren 2 pi over 15 t close paren plus 104 h(t)=−98cos(2π7.5t)+102
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