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Suppose the function (t) = 95 cos i 120 models the height of a seat on a ferris wheel after t minutes. based on this information, what is the diameter of the ferris wheel?

A) 95 ft
B) 120 ft
C) 190 ft
D) 215 ft

User Meiying
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1 Answer

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Final answer:

The amplitude of the cosine function represents the radius of the Ferris wheel. To find the diameter, multiply the radius by 2, resulting in a diameter of 190 feet, making option C) 190 ft the correct answer.

Step-by-step explanation:

The function mentioned seems to be incomplete, but assuming it is t(t) = 95 cos(120t) or a similar format, it represents the height of a seat on a Ferris wheel as a function of time t, where 95 is the amplitude of the cosine function. The amplitude of this trigonometric function in the context of a Ferris wheel corresponds to the radius of the Ferris wheel. Therefore, to find the diameter, we simply multiply the radius by 2.

Diameter of the Ferris wheel = 2 × Radius = 2 × 95 = 190 feet.

The correct answer is C) 190 ft, which is the diameter of the Ferris wheel.

User Lopper
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