Your neighborhood movie theater has a 25-foot-high screen located 8 feet above your eye level. If you sit too close to the screen, your viewing angle is too small, resulting in a distorted picture. By contrast if you sit too far back, the image is quite small, diminishing the movie's visual impact. If you sit LaTeX: xx feet back from the screen, your viewing angle is given by LaTeX: \theta = \tan^{-1} \frac{33}{x} - \tan^{-1} \frac{8}{x} θ = tan − 1 ⁡ 33 x − tan − 1 ⁡ 8 x 1) Choose a value for LaTeX: xx representing how far back you want to sit in feet and use the formula above to calculate the viewing angle LaTeX: \thetaθ for that distance. Make sure your calculator is in radian mode. 2) Go to Movie Theater Viewing Angle and compare your choice of distance to the optimal choice of distance. How close or far are you to the optimal (maximum) viewing angle? 3) What is your viewing angle θ in degrees? (convert your angle to the nearest tenth)