Question

The Ferris wheel at a carnival has a diameter of 18m and descends to 2m above the
ground at its lowest point. Assume that a rider enters a car at this point and rides the wheel
for two revolutions

My main problem is how to get the phase shift. (The answer says its 270 degrees)

Answer 1

well, since sin(x) has a max at x=90, and a min at x=270, that phase shift makes sense. You will have something along the lines of

sin(x+270)

The radius of the wheel is 9, and the whole wheel is lifted 2m, so we have

9sin(x+270)+11

see, at x=0, y=9(-1)+11 = 2
at x=90, y=9(0)+11 = 11
and so on

Answer 2

Thank you very much Steve!

Answer 3

I just want to know how you got 270 in a simpler way please.