Question 934734: Suppose a player hits a ball from point A at an angle of 45 degrees on a pool table that measure 9’ by 4.5’ as shown. How many times will the ball hit a side of the table before going into a pocket? If a player hits the ball at the same angle but the table measures 9’ by 6’, how many times will it hit a side? (Hint: Try making a scale drawing.)
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! on a 9’ by 4.5’ table, the ball will go directly into the side pocket without hitting any rails.
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why:
the upper-left triangle, including point A and the top-center pocket, is isoceles.
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on a 9’ by 6’ table, the ball will go into the top-left corner pocket after hitting 3 rails.
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why:
the ball will hit the top rail 3 feet from the right side, the ball will then bounce at 45 degrees and hit the right rail in the middle (3 feet from top and 3 feet from bottom), the ball will then bounce at 45 degrees and hit the bottom rail 6 feet from the left side, the ball will then bounce at 45 degrees and enter the top-left pocket.
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