Answer:
- Amplitude = 48
- Interpretation: The vertical distance from the center line to either the highest point or the lowest point is 48 feet. It represents half the total vertical distance from peak to valley.
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Explanation:
The facts "The right lasts for 18 minutes" and "tickets are just $2" are not relevant to this question.
All we care about really is the h(t) function.
The general sine function is
y = A*sin(B(x-C)) + D
where
- |A| = amplitude
- B is used to find the period T = 2pi/B
- C is the horizontal phase shift
- D is the vertical shift and y = D is the center line
Here we have A = 48 so |A| = |48| = 48 is the amplitude. If you graphed the h(t) function, you would find that y = 55 is the center line and y = 55+48 = 103 is the highest y value possible, while y = 55-48 = 7 is the lowest y value possible.
In short, the Ferris wheel reaches the highest point of 103 feet and the lowest point of 7 feet off the ground.
