Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Review Exercises - Page 533: 15

Answer

$\phi=47 ^{\circ}$

Work Step by Step

First, draw each of the diagonal. The length of 1/2 the diagonal is 5.5 in. Since the length of the side is 6 in, we find: $ \phi /2 = cos^-1(5.5/6)$ Note that the angle is divided by two since this represents only 1/2 of the angle. Thus, we find: $\phi=47^{\circ}$
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