What the ferries

Question

A ferries wheel is 10 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o’clock position on the ferries wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. How many minutes of the ride are spent higher than 10 meters above the ground?

Answer 1

A=5

D=6

B=2pi/period = pi/5

C= phase shift =-pi

10= 5sin(pit/5-pi)+6

4/5 = sin(pit/5-pi)

pit/5 = arcsin(4/5) +pi

t=5arcsin(.8)/pi=265.65/180+5= 6.476 seconds

5 to the top

6.475-5= 1.476

2(1.476=about 2.932 seconds above 10 feet