We have a billiard table in the shape of a right triangle ABC with B the right angle. A cue ball is struck at vertex A and bounces off sides BC, AC, AB, and AC at points D, E, F, and G respectively ending up at vertex B. Assume the angle of incidence equals the angle of reflection at each bounce. If the path segments AD, EF, and GB are concurrent, then what is the tangent of angle BAD?
(In reply to
re(2): My Efforts by Charley)
I would love to diagram this out for my own purposes. After reading Charlie's
post, I still believe that θ must be less than 45º, but I can't,
without great effort, display why I believe so. Anyone know of a
program that I can use to draw lines of an accurate length and angle
from a fixed point?
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Posted by Charley
on 2005-05-14 04:48:25 |
re(3): My Efforts
