Science:Math Exam Resources/Courses/MATH102/December 2014/Question C 03/Statement

Stanley Park

At the outdoor summer movie at Stanley Park, the bottom of the screen is 2 meters above your eye level, and the screen is 6 meters tall. At what distance $x$ from the base of the screen is the visual angle occupied by the screen as large as possible?

HINT: There are several possible approaches to this problem but one approach is to define $\theta$ as the angle to the top of the screen and $\phi$ as the angle to the bottom of the screen and maximize their difference.