John has been hired to design an exciting carnival ride. tiff, the carnival owner, has decided to create the world's greatest ferris wheel. tiff isn't into math; she simply has a vision and has told john these constraints on her dream: (i) the wheel should rotate counterclockwise with an angular speed of a = 15 rpm; (ii) the linear speed of a rider should be 200 mph; (iii) the lowest point on the ride should be c = 3 feet above the level ground. find the radius of the ferris wheel. (round your answer to two decimal places.)