Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.3 - Solving Right Triangles - 2.3 Problem Set - Page 80: 25

Answer

Chapter 2 - Section 2.3 Problem Set: 25 (Answer) Drawing : Refer to Figure I $\angle B$ = $57.4^{\circ}$ $c = 80.6$ inches (To three significant digits) $b = 67.9$ inches (To three significant digits)
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Work Step by Step

Chapter 2 - Section 2.3 Problem Set: 25 (Solution) Drawing : Refer to Figure I $\angle A$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ ($\angle$ sum of $\triangle$) $32.6^{\circ}$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ $\angle B$ = $57.4^{\circ}$ $\sin 32.6^{\circ} = \frac{a}{c}$ $c = \frac{43.4}{\sin 32.6^{\circ}}$ $c = 80.6$ inches (To three significant digits) $\cos 32.6^{\circ} = \frac{b}{c}$ $b = 80.6 \cdot \cos 32.6^{\circ}$ $b = 67.9$ inches (To three significant digits)
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