Chairs for a theater lie 5 feet below the screen. How far back should a person sit to maximize their viewing angle of the screen? That is, determine the value of a that maximizes the viewing angle 0. Note: The picture is not to scale. 22 ft in hhhhh First, tan($) = Solving for o as a function of x yields: $ = Second, tan (0 + $) = Solving for 0 as a function of x yields: 0 = Solving 0' = 0 yields that value of a that maximizes the viewing angle. The distance to maximize the viewing angle is x = feet And the maximum viewing angle is 0 = degrees