The high roller, a ferris wheel in las vegas, nevada, opened in march 2014. the 550 ft. tall wheel has a diameter of
520 feet. a ride on one of its 28 passenger cars lasts 30 minutes, the time it takes the wheel to complete one full
rotation. riders board the passenger cars at the bottom of the wheel. assume that once the wheel is in motion, it
maintains a constant speed for the 30-minute ride and is rotating in a counterclockwise direction.
a. sketch a graph of the height of a passenger car on the high roller as a function of the time the ride began.
b. write a sinusoidal function hh that represents the height of a passenger car minutes after the ride begins.
c. explain how the parameters of your sinusoidal function relate to the situation.
d. if you were on this ride, how high would you be above the ground after 20 minutes?
e. suppose the ride costs $25. how much does 1 minute of riding time cost? how much does 1 foot of riding
distance cost? how much does 1 foot of height above the ground cost?
f. what are some of the limitations of this model based on the assumptions that we made?