graphs of sinusoidal functions

Question

The London Eye is the world's largest ferris wheel. It has a diameter of 450 feet and completes one revolution every 30 minutes. It rotates slowly enough that people can get on and off the ride as it turns. Suppose a person boards the ride at ground level.

a) Find a formula for the person's height h( in ft.) as a function of time( in minutes after the person boards the ride)and sketch a graph of this function.

b) At what times during the first 30 minutes will the passenger be 100 ft. above ground?

Answer 1

Link to graph referenced in the video:

https://www.desmos.com/calculator/7ime6zra2d

Select the URL, right click and choose "go to ..." to visit the Desmos graph