Question

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The height in feet of a seat on a Ferris wheel is given by the function h(t)=50sin(2πt/10) + 60. Time t is measured in minutes since the Ferris wheel started. What is the diameter of the Ferris wheel? How high is the center of the Ferris wheel?

Answer 1

Answer:
Diameter is 100 feet
Center is 60ft high

Step-by-step explanation:

The given function for the height of a seat on a Ferris wheel is:

h(t) = 50sin(2πt/10) + 60

Here, the amplitude of the sine function is 50, which corresponds to the radius of the Ferris wheel. The diameter of the Ferris wheel is twice the radius. Thus, the diameter is:

Diameter = 2 * radius = 2 * 50 = 100 feet

The vertical shift of the sine function is 60, which represents the height of the center of the Ferris wheel above the ground. So, the center of the Ferris wheel is 60 feet high.