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Degree of Angles for Books

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I would like some help seting up this problem. I am doing
some extra learning and the problem is a bit confusing
The angle is 22 degrees and the book gives the answer as .50636

Thank You

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Solution Summary

The degrees of angles for books are found.

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See attachment.
Because,
OC = OD = ON/cos(theta) = (13/16)/cos(22) = ...

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