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Get a good look (Posted on 2014-02-18) Difficulty: 3 of 5
You are in a large gallery with a large rectangular painting hung high on a wall. Its lower edge is m feet above your eye level. Its upper edge is n feet above your eye level.

How far back should you stand to maximize your viewing angle, the angle from your eyes to the top and bottom of the painting.

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Some Thoughts Interesting observation | Comment 3 of 5 |
While the problem implies that m & n are both greater than the height of your eye by using the word "above",  there is nothing to physically prevent m or n from being negative, so long as n>m.  If eye level = E, then for the case of n>E and m<E, the answer by inspection is x=0. with the viewing angle = 180 deg.   Not very easy to see this way though.

  Posted by Kenny M on 2014-02-18 21:08:57
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