Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 7 - Applications of Trigonometric Functions - Section 7.2 The Law of Sines - 7.2 Assess Your Understanding - Page 551: 24

Answer

$A=90^\circ$ $b\approx0.34$ $c\approx0.94$

Work Step by Step

1. Find the third angle $A=180-70-20=90^\circ$ 2. Use the Law of Sines, we have $\frac{b}{sin20^\circ}=\frac{c}{sin70^\circ}=\frac{1}{sin90^\circ}$ 3. $b=\frac{sin20^\circ}{sin90^\circ}\approx0.34$ 4. $c=\frac{sin70^\circ}{sin90^\circ}\approx0.94$
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