Trigonometry questions

Question

A Ferris wheel is 20 meters in diameter and boarded from a platform that is 5 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 4 minutes. Find the amplitude,midline, period and how high are you off of the ground after 2min

Answer 1

amplitude = 10

midline = 15

period = 4

25 feet when t=2 minutes, at maximum height

h(t)= 10sin[(pi/2)(t-1)] + 15

or

h(t) = 10cos[(pi/2)(t-2) +15

general equation is

h(t)=Asin[B(t+C)]+D

A=amplitude

2pi/B=period

C=phase shift

D=midline