In order to get into the Ferris wheel, you first must climb ontoa platform several feet above ground level. That platformaccommodates the cars (also called gondolas) to pass by withouttouching the ground. From that platform, the cars then travel atotal of 224 feet in the air. The Ferris wheel has a radius of 106feet. Using this information, answer the following questions. Youcan type the answers to questions 1-5, but 6 and 7 should havehand-written work to accompany any answer you provide. Answerswithout handwritten submissions will not be awarded any points forquestions six and seven.

1) What is the diameter of the Ferris wheel? 212ft

2) How close to the bottom of the cars come to the ground? 12ft

3) Given the information from question 2, about how high is theplatform if you walk from the platform into the floor of thegondolas with no gap in height? 12ft

4) How high is the center of the Ferris wheel from theground?

In order to answer questions 5 and 6, you’ll need to imagine theimage of a Ferris wheel superimposed onto a coordinate grid.

5) Assuming the center of the Ferris wheel lies on the y-axis,what would the coordinates of the center of the Ferris wheelbe?

6) Use the information from the problem, and your answer to part5, to write an equation of the wheel.

7) In one rotation, how far does a patron travel while ridingthe Ferris wheel at the State Fair of Texas?