..Carson and Jon are playing a game of Laser Tag at Carson’s birthday party. They are in a
room that is 30 feet wide and 60 feet long. The room has obstacles that block the laser
beams, but it also has walls which reflect the beams.
As shown in the diagram below, Carson is standing 6 and 12 feet from the two walls in
one corner of the room. Jon is standing 8 and 15 feet from the two walls in the opposite
corner, and several obstacles between the boys are preventing direct shots.
Carson decides that he can hit Jon by bouncing a beam off wall AB. He knows that the
slope of his reflected beam will be the negative of its slope before it hits the wall.
Question: How far along the wall from corner A should Carson shoot for his reflected
beam to hit Jon?