Television
Jim’s mother watches a lot of TV. The screen is 30 inches tall and the bottom of the screen is 6 inches above her eye level while sitting in her favorite chair. To optimize her viewing experience, Jim wishes to calculate how far from the screen she should sit. Find the horizontal distance from the TV’s wall to her eyes that maximizes the angle her eyes trace from the bottom to the top of the screen.
1.draw pictures of at least THREE different cases (including the endpoints if any).
2. define all variables CLEARLY (with words) and then use those variables consistently.
3. Employ calculus to find the OPTIMAL case (which will be either a critical point or an endpoint).