A popular amusement park ride is the double Ferris wheel. Each small wheel takes 20 s to make a single rotation. The two-wheel set takes 30 s to rotate once. The dimensions of the ride are given in the diagram.

a. Sandra gets on at the foot of the bottom wheel. Write an equation that will model her height above the center of this wheel as the wheels rotate.
b. The entire ride (the two-wheel set) starts revolving at the same time that the two smaller wheels begin to rotate. Write an equation that models the height of the center of Sandra's wheel as the entire ride rotates.
c. Because the two motions occur simultaneously, you can add the two equations to write a final equation for Sandra's position. Write this equation.
d. During a 5 min ride, during how many distinct time periods is Sandra within 6 ft of the ground?

Transcribed Image Text:

20 44 h 20 12η