MathDB
2015 Geometry #7

Source:

December 23, 2016

Problem Statement

Let ABCDABCD be a square pyramid of height 12\frac{1}{2} with square base ABCDABCD of side length AB=12AB=12 (so EE is the vertex of the pyramid, and the foot of the altitude from EE to ABCDABCD is the center of square ABCDABCD). The faces ADEADE and CDECDE meet at an acute angle of measure α\alpha (so that 0∘<α<90∘0^{\circ}<\alpha<90^{\circ}). Find tan⁡α\tan \alpha.
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