Algebra of Perspective

Inspired by an article in Mathematics Teacher by Davis, Zielke and Lickeri, Rational Functions: a New Perspective, March 2011. ([url]http://www.nctm.org/publications/article.aspx?id=28411[/url]) And a lifelong interest in perspective drawing and projective geometry.[br][br]There are so many interesting algebraic and geometric questions in this situation. [br][br]In addition to the function question posed in the sketch, could you find a function for apparent length (in the image) based on distance from observer?
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