Use the image and data provided below.
Let's consider a scenario involving a futuristic amusement ride called the Sky Spiral. The Sky Spiral is a unique rotating tower in the heart of a city, and it has a diameter of 100 meters. Passengers board the ride at ground level, and the tower makes one revolution (counter-clockwise) every 40 minutes. We want to find a sinusoid that models the height h of a passenger above the ground in meters t minutes after they board the Sky Spiral.
The general form of a sinusoid is h(t)=Asin(T2πt)+k, where:
- A is the amplitude (half the range of the function),
- T is the period,
- k is the vertical shift (which in this case is the initial height).
Select the correct value of the amplitude (in meters) of the sinusoid function.