Trigonometry 7th Edition

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

Chapter 7 - Section 7.1 - The Law of Sines - 7.1 Problem Set - Page 368: 13

Answer

$a \approx 11$ cm

Work Step by Step

1. Solve for the angle $C$ $C + 48 + 54 = 180$ $C + 102 = 180$ $C = 78˚$ 2. Solve for $c$ $\frac{a}{sin(52)} = \frac{14}{sin(78)}$ $a = \frac{14sin(52)}{sin(78)}$ $a = \frac{11.03...}{0.978...}$ by GDC / calculator $a = 11.2786...$ cm $a \approx 11$ cm
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