Recall that the Texas Star Ferris wheel in Dallas has a radius of 106 ft and makes one revolution every 1.5 minutes. Assume that the wheel rotatescounterclockwise.9. Model with mathematics. Write parametric equations that would model the motion of a rider that starts at the bottom of the wheel at time t= 0 at the point (0, 0).10. Use appropriate tools strategically. Graph the parametric equations on a graphing calculator. Then sketch a graph of the results.Indicate the direction of motion and the starting position of the rider.11. In the first revolution, when will the rider be 159 feet off the ground?12. What are the coordinates of the rider's position after 5 minutes?13. How would the parametric equations change if the wheel rotated clockwise instead of counterclockwise?