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Limited reflections (Posted on 2019-02-19) Difficulty: 2 of 5
Triangle ABC has vertices A=(0, 1), B=(1, 0) and C=(0, 0) in the coordinate plane.

The insides of the sides are lined with mirrors, and then a laser beam is fired from the origin with a slope of 314/379

Which corner of the triangle will the laser beam hit first?

No Solution Yet Submitted by Danish Ahmed Khan    
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from a different angle | Comment 2 of 7 |
I am not sure of this: I didn't do a simulation (yet), but I think it will hit C, the origin, first.

Since arctan(314/379) is 39.6 deg, when the beam hits AB at "I" it
makes a triangle CIB with angle I = 95.3 deg. = 180-45-39.6.
This sends the beam down to "J" near the middle of CB.
Angle IJB = 180-95.3 - 45 = 39.7 deg. Then, my crude sketch 
has the beam zig-zagging its way into C. 


Edited on February 20, 2019, 1:25 am
  Posted by Steven Lord on 2019-02-19 21:59:04

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