Riders on a Ferris wheel travel in a circle in a vertical plane. A particular wheel has radius 20 feets and revolves at the constant rate of one revolution per minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 10 vertical feet above the bottom?

Explanation

`R=2pi(ratios)/(min)`

`Costheta=(R/2)/(R)`

`Costheta=1/2`

`theta=pi/3 radian`

`T=theta/(2theta)=(pi/3)/(2pi)`

`T=1/6` minutes

`T=1/6*60=10 seconds`.