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: 29

Answer

Chapter 2 - Section 2.3 Problem Set: 29 (Answer) Refer to Figure I $\angle A$ = $14^{\circ}$ $a = 1.4$ ft (To two significant digits) $b = 5.6$ ft (To two significant digits)

Work Step by Step

Chapter 2 - Section 2.3 Problem Set: 29 (Solution) Refer to Figure I $\angle A$ + $\angle B$ + $90^{\circ}$ = $180^{\circ}$ ($\angle$ sum of $\triangle$) $\angle A$ + $76^{\circ}$ + $90^{\circ}$ = $180^{\circ}$ $\angle A$ = $14^{\circ}$ $\cos 76^{\circ} = \frac{a}{c}$ $a = 5.8 \cdot \cos 76^{\circ}$ $a = 1.4$ ft (To two significant digits) $\sin 76^{\circ} = \frac{b}{c}$ $b = 5.8 \cdot \sin 76^{\circ}$ $b = 5.6$ ft (To two significant digits)
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