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: 49

Answer

Chapter 2 - Section 2.3 Problem Set: 49 (Answer) Refer to Figure 1 $x = 7.4$ (To 2 significant digits) $y = 6.2$ (To 2 significant digits)
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Work Step by Step

Chapter 2 - Section 2.3 Problem Set: 49 (Solution) Refer to Figure 1 In $\triangle$BDC, $\cos\angle BDC$ = $\frac{x}{DB}$ $\cos 58^{\circ}$ = $\frac{x}{14}$ $x = 14 \cdot \cos 58^{\circ}$ $x = 7.4$ (To 2 significant digits) In $\triangle$BAC, $\cos A$ = $\frac{AC}{AB}$ $\cos 41^{\circ}$ = $\frac{(7.4+y)}{18}$ $7.4 + y = 18 \cdot \cos 41^{\circ}$ $y = 6.2$ (To 2 significant digits)
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