The equation \small h\left(t\right)=-15cos\frac{\pi}{6}\left(t\right)+4 models the trajectory of a Ferris Wheel where t is time (in minutes), and h is the height of a car(in feet). Use Pi = 3.14 and express your answers to the nearest 100th (2 decimal digits).

1) What is the height (h) of the car when you get on the Ferris Wheel? h = feet?

2) What is the macimum height (in feet) that a car can reach on its journey hmax = feet?

3) How long (t) does it take one car to travel a full cycle? t = minutes?

4) What is the diameter of the Ferris Wheel? Answer: feet