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: 17

Answer

$A = 92˚$ $b \approx 6.1$ m $c \approx 3.8$ m

Work Step by Step

1. Solve for the unknown angle $A$ $A + 57 + 31 = 180$ $A + 88 = 180$ $A = 92˚$ 2. Solve for the missing length $b$ $\frac{b}{sin(57)} =\frac{7.3}{sin(92)}$ $b = \frac{7.3sin(57)}{sin(92)}$ by GDC / calculator $b = \frac{6.12...}{0.999...}$ $b = 6.1260...$ m $b \approx 6.1$ m 3. Solve for the missing length $c$ $\frac{c}{sin(31)} =\frac{7.3}{sin(92)}$ $c = \frac{7.3sin(31)}{sin(92)}$ by GDC / calculator $c = \frac{3.759...}{0.999...}$ $c = 3.762....$ m $c \approx 3.8$ m
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