Originally posted by AThousandYoung
I'm guessing the "best view" is the one in which the painting takes up the most space in your field of vision. Is that right? You'd need to take into account how looking at it from close up angles it too much to see properly, while the farther you go the smaller it gets in your vision. Hmmm.
Well, you worked it out, so I won't bother. Interesting though.
I think what you are saying is correct.
you let the horizontal distance the observer is from the painting be "x" (the base of the right triangle)
then draw a line from the observer's eye to the top of the painting
followed by one to the bottom of the painting
then maximize the angle bounded by the two hypotenuse( or the largest angle-smallest in the subdivided angle)by using arccot functions to solve.