Maths Olympiad Prep

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CEMC Hypatia, 2004

Geometry Difficulty 2.0 Junior Prove it Canada

Two basketball players, Alan and Bobbie, are standing on level ground near a lamp-post which is 8 m tall. Each of the two players casts a shadow on the ground. In the diagram, Alan is standing 2 m from the lamp-post. If Alan is 2 m tall, determine the value of xx, the length of his shadow.

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