# Chapter 11 - Section 11.2 - The Cosine Ratio and Applications - Exercises - Page 510: 37

$55^{\circ}$

#### Work Step by Step

The length of a diagonal is $\sqrt{2}s$ Thus, we find: $tan(\alpha) = \frac{\sqrt{2}s}{s} \\ \alpha = tan^{-1}(\sqrt{2}) = 55^{\circ}$

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