Most of us at one time or another have used a cardboard or plastic tube as a telescope. Although the tube does not actually enlarge what we see, it does help us focus on a narrow field of vision. In this problem, we explore relationships among the variables inherent within such a viewing tube.

Task #1: Using the viewing tube given to you, collect data to determine a relationship between the distance a viewer's eye is from a vertical wall and the viewer's field of vision on that wall.

Task #2: Study the original viewing tube and any other available to you. Identify all variables that may influence the relationship you determined in Task #1.

Task #3: Use Task #1 and #2 to help you generalize you solution so we can determine the field of vision for any viewing tube.

Task #4: Write a careful justification for the generalization you described in Task #3.