(Solved): Chairs for a theater lie 5 feet below the screen. How far back should a person sit to maximize the ...

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 x that maximizes the viewing angle 0. Note: The picture is not to scale. 22 ft 5 ft ????? 5 First, tan() = OB I Solving for as a function of a yields: tan (0) + I Second, tan(+6) 1-5 tan (0) Solving for as a function of a yields: 0 = tan 11 ? 135 X Solving ' = 0 yields that value of a that maximizes the viewing angle. The distance to maximize the viewing angle is = 38.12335958 x feet = = X 27 X X And the maximum viewing angle is = 43.43 ? odegrees