This is a legendary problem. It is taught in calculus, but the ancients solved with only geometry

A painting of 14 units hangs from a wall 18 units above your eye level. What is the distance you should stand from the wall to have the largest viewing angle? This problem dates all the way back to Regiomontanus in 1471. It's an incredible problem and the video presents 2 solution methods. Special thanks this month to: Kyle, Lee Redden, Mike Robertson, Daniel Lewis. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions

0:00 Problem
1:45 Solution 1
10:05 Solution 2

Image credits
https://en.wikipedia.org/wiki/Mona_Lisa#/media/File:Mona_Lisa,_by_Leonardo_da_Vinci,_from_C2RMF_retouched.jpg
https://en.wikipedia.org/wiki/Regiomontanus#/media/File:Nuremberg_chronicles_f_255r_1_(Johannes_de_Monteregio).jpg

Construction of circle tangent to line and passing A, B
https://www.geogebra.org/m/CgHVUJs8

Regiomontanus hanging picture problem
https://www.maa.org/press/periodicals/convergence/historical-activities-for-calculus-module-3-optimization-regiomontanus-hanging-picture-problem
https://en.wikipedia.org/wiki/Regiomontanus%27_angle_maximization_problem
https://math.stackexchange.com/questions/404547/extrema-homework-maximizing-the-viewing-angle-of-a-picture-on-a-wall

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