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Maximizing the Viewing Angle of a Painting

size of painting

placement of painting

distance from wall to eye, x

x = 10'

viewing angle θ = 18.2928°

This Demonstration provides a visualization of this oft-asked optimization problem: How far from a painting hung high on a museum wall should a one-armed stick figure with a red eye stand, in order to maximize the viewing angle? The figure's eye is exactly five feet above the ground.

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