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Insanely hard math problem...tell me if you get it please?
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Karsten and Jorge are playing a game of Laser Tag at Karsten'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, Karsten is standing 6 and 12 feet from the two walls in one corner of the room. Jorge is standing 8 and 15 feet from the two walls in the opposite corner, and several obstacles between the boys are preventing direct shots.
Karsten decides that he can hit Jorge 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.
How far along the wall from corner A should Karsten shoot for his reflected beam to hit Jorge?
I can't see the diagram, so I'm not sure how you label the corners of the room or from which walls you are measuring hte respective distances.
But here is the general idea.
Find the reflection of J across AB. Call it J'. Note that J' is on the opposite side of AB and at the same distance from AB as J is from AB.
Now just draw a line connecting K to J'. Where that line intersects AB is where K should be aiming.
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