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Problem 22 (2014 AMC 10A)

AMC 10AHard

From module Special Right Triangles

Problem

In rectangle ABCDABCD, AB=20\overline{AB}=20 and BC=10\overline{BC}=10. Let EE be a point on CD\overline{CD} such that CBE=15\angle CBE=15^\circ. What is AE\overline{AE}?

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