Answer
$55^{\circ}$
Work Step by Step
The length of a diagonal is $\sqrt{2}s$ Thus, we find:
$tan(\alpha) = \frac{\sqrt{2}s}{s} \\ \alpha = tan^{-1}(\sqrt{2}) = 55^{\circ}$
Elementary Geometry for College Students (6th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
9781285195698
ISBN 13:
978-1-28519-569-8
Chapter 11 - Section 11.2 - The Cosine Ratio and Applications - Exercises - Page 504: 37
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