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 - Page 510: 25

Answer

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

Work Step by Step

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

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.