Elementary Geometry for College Students (5th Edition)

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

Chapter 11 - Section 11.2 - The Cosine Ratio and Applications - Exercises: 25


$\alpha\approx50.8^{\circ}$ $\beta\approx39.2^{\circ}$

Work Step by Step

$(\sqrt2)^{2}+(\sqrt3)^{2}=c^{2}$ $2+3=c^{2}$ $5=c^{2}$ $c=\sqrt5$ $\cos\alpha=\frac{\sqrt2}{c}$ $\cos\alpha=\frac{\sqrt2}{\sqrt5}$ $\alpha=\cos^{-1}\frac{\sqrt2}{\sqrt5}$ $\alpha\approx50.8$ $\sin\beta=\frac{\sqrt2}{c}$ $\sin\beta=\frac{\sqrt2}{\sqrt5}$ $\beta=\sin^{-1}\frac{\sqrt2}{\sqrt5}$ $\beta\approx39.2$
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