Elementary Geometry for College Students (5th Edition)

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

Chapter 11 - Section 11.1 - The Sine Ratio and Applications - Exercises - Page 503: 27

Answer

$23^{\circ}$

Work Step by Step

Using Pythagorean Theorem to find the length of hypotenuse. $\sqrt{5^{2}+12^{2}}=13$ $\sin\alpha=\frac{5}{13}$ $\alpha=\sin^{-1}\frac{5}{13}$ $\alpha\approx23^{\circ}$
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