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

MATH102 December 2014

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### Question C 03

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 ${\displaystyle x}$ 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 ${\displaystyle \theta }$ as the angle to the top of the screen and ${\displaystyle \phi }$ as the angle to the bottom of the screen and maximize their difference.

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