A carpenter installs a brand new, perfectly square door. The door hinges are standard, new and undamaged. The mortises in the door and door jamb for the hinges are perfect, so that the hinges are screwed in perfectly flush and exactly in the right places. Using a long level, the carpenter sees that all the door pins are perfectly colinear and vertical. Yet, he sees a tapering gap between the door and the door jamb, and that the door itself is out of plumb, i.e, rotated inside the door jamb opening. How is this possible? This should be a question in "Home and Garden", but this is actually more of a geometry problem. Before the carpenter can fix this problem, he first has to know what's causing the tapered gap, which is responsible for the door being out of plumb. Assume that the door is free swinging with a gap clearance all around the door. Is there a common geometrical explanation for this problem? To say that carpenter just did a sloppy job isn't helping anything.
2007-07-24
03:44:08
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1 answers
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asked by
Scythian1950
7
in
Mathematics