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: 28


$a \approx 9.87 \\ b \approx 4.39\\A=66^{\circ}$

Work Step by Step

Here, $\cos B=\dfrac{a}{c}$ This gives: $\cos 24^{\circ}=\dfrac{a}{10.8} \implies a \approx 9.87$ Now, $\sin B=\dfrac{b}{c}$ This gives: $\sin 24^{\circ}=\dfrac{b}{10.8} \implies b \approx 4.39$ Since the sum of a triangle is $180^{\circ}$ and the right angle is $90^{\circ}$: $ A=180^{\circ}-24^{\circ}-90^{\circ}=66^{\circ}$
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