High School

A person’s height, in feet above the ground, on a Ferris wheel can be modeled using the equation:

\[ h(t) = -45 \cos\left(\frac{\pi t}{7}\right) + 52 \]

What is the maximum height the rider reaches?

A. 7 feet

B. 52 feet

C. 97 feet

D. 97 + 45 feet

Answer :

Final answer:

The maximum height the rider reaches on the Ferris wheel, according to the given equation, is 97 feet. The Correct option is C

Explanation:

The maximum height a rider reaches on a Ferris wheel, modeled by the equation h(t) = -45 cos(πt/7) + 52, can be found by identifying the maximum value of the cosine function part of the equation. The cosine function varies between -1 and 1, so the maximum value of -45 cos(πt/7) occurs when cos(πt/7) is -1, which makes -45 * (-1) equal to 45. Therefore, the maximum height h(t) will be when the height equals 52 plus 45, which is 97 feet.

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