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: 14

Answer

$B = 65˚$ $c \approx 20$ cm

Work Step by Step

1. Solve for the angle $B$ $B + 33 + 82 = 180$ $B + 115 = 180$ $B = 65˚$ 2. Solve for $c$ $\frac{c}{sin(82)} = \frac{18}{sin(65)}$ $c = \frac{18sin(82)}{sin(65)}$ $c = \frac{17.82...}{0.906...}$ by GDC / calculator $c = 19.6675...$ cm $c \approx 20$ cm
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