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US Third in Math Olympiad (Math Chat)

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Visit this site: http://www.maa.org/features/mathchat/mathchat_8_3_00.html

Author:Frank Morgan, MAA Online
Description: 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
Languages: English
Resource Types: Articles
Math Topics: Euclidean Plane Geometry

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