Optimization - Best Spot to View a Painting

A painting in an art gallery has height 3 m and is hung so that its lower edge is about 1 m above the eye of an observer. How far from the wall should the observer stand to get the best view? (i.e. the observer wants to maximize the angle θ subtended at the eye by the painting.)

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Jamie Mulholland
Department of Mathematics
Simon Fraser University
Created with GeoGebra