Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Skill Practice - Page 857: 23


$ A=72^{\circ}\\ C=90^{\circ}\\ a \approx 22.8\\b \approx 7.4$

Work Step by Step

$\sin 18^{\circ}=\dfrac{b}{c}=\dfrac{b}{24}$ This gives: $b \approx 7.4$ and $\cos 18^{\circ}=\dfrac{a}{c}=\dfrac{a}{24}$ This gives: $a \approx 22.8$ Since the sum of a triangle is $180^{\circ}$ and the right angle is $90^{\circ}$ $ A=B-C=180^{\circ}-90^{\circ}-18^{\circ}=72^{\circ}$
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