# Ferris wheel question

1. May 11, 2016

### Veronica_Oles

1. The problem statement, all variables and given/known data

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

(A) model the riders height above the ground vs the angle of rotation using a transformed sime function.
2. Relevant equations

3. The attempt at a solution
I know the answer is y= 9 sin (x-90) + 11

I know the a is 9 because the 18/2 and the c value is 11 because 2 + 9 = 11 but I don't know how they got to (x - 90)

2. May 12, 2016

### andrewkirk

You need the wheel to be at its lowest point when the person gets in, which is when $x=0$. So you need the formula to be at a minimum when $x=0$. What is the minimum value of the sine function, and at what angles does it occur?

[Note: The 90 must be 90 degrees for the answer to be correct]