A typical drag strip is mi long or 402 m. Suppose a set of bleachers 3 m deep are set up 20 m away from the track.

a. Which position in the bleachers requires you to turn your head farthest away from a straight-forward position to watch the race? What is the greatest angle required for this seat?

b. Which position in the bleachers requires you to turn your head the smallest angle from a straight-forward position to watch the race? What is the greatest angle required for this seat?

c. Suppose you are sitting in the front middle seat. Write an equation that represents distance, d, of the track visible by turning your head an angle of q in one direction. Include the domain for this scenario.

d. Sketch the equation you determined in part c. over the domain you gave.

e. Determine the maximum and minimum values of d and q.