US Third in Math Olympiad (Math Chat)
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|Frank Morgan, MAA Online|
|Answer to the Challenge: a small creature needs to find its way from a random point on an mile-wide strip of land to the sea on either side, by going distance r in a random direction and then (if it has not yet found the water), turning once t degrees to the right and continuing thereafter in a straight line. What choices of r and t minimize the expected journey length to the sea? ...you can be sure of reaching the sea by going 1 mile and then turning 90 degrees to the right... US TEAM won six medals at the International Mathematical Olympiad (IMO) held in Taejon, South Korea, July 19 and 20, 2000.|
|Levels:||High School (9-12), College|
|Math Topics:||Euclidean Plane Geometry|
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