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IKMC 2018 - Grades 11-12 - Self-study Question 26

IKMC · IKMC 2018 - Grades 11-12 - Self-study

Question 26

On an ideal rectangular billiard table of side lengths 3 m and 2 m, a point-like ball starts from M on long side AB. It reflects exactly once from each other side as shown. Where does it return to AB, measured from A, if $BM=1.2$ m and $BN=0.8$ m?

Question illustration
  1. 2 m
  2. 1.5 m
  3. 1.2 m
  4. 2.8 m
  5. 1.8 m