QuestionA ferris wheel is 35 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function $h=f(t)$ gives your height in meters above the ground $t$ minutes after the wheel begins to turn.
What is the Amplitude? $\square$ meters
What is the Midline? $\mathrm{y}=$ $\square$ meters
What is the Period? $\square$ minutes
How High are you off of the ground after 4 minutes? $\square$ meters

Studdy Solution
To find the height after 4 minutes, note that 4 minutes is half a period, meaning the ferris wheel is at the top of its cycle. The height at the top is the midline plus the amplitude:
$\text{Height after 4 minutes} = 21.5 + 17.5 = 39 \text{ meters}$
The solution is as follows: - Amplitude: $17.5$ meters - Midline: $\mathrm{y} = 21.5$ meters - Period: $8$ minutes - Height after 4 minutes: $39$ meters

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