then a= (?) Then b= (?)

Question

A Ferris wheel is 80 meters in diameter and boarded from a platform that is 2 meters above the ground. The wheel completes one full revolution in 20 minutes. The function h(t) is h(t)=a sin(bt-c)+d.  gives your height in meters above the ground t minutes after the wheel begins to turn.

Answer 1

In this equation, a represents the radius of the circle in meters, or 40.

Finding b is a little bit more complicated. If b=1, then the wheel completes a revolution every 2π minutes. So we need to use b=20/2π=10/π≈3.183 to stretch that out.