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: 11

Answer

$C = 70˚$ $c \approx 44$ km

Work Step by Step

1. Find the angle $C$ knowing that all angles in a triangle add to $180˚$ $C + 50 + 60 = 180$ $C + 110 = 180$ $C = 70˚$ 2. Solve for $c$ $\frac{c}{sin(70)} = \frac{36}{sin(50)}$ $c = \frac{36sin(70)}{sin(50)}$ $c = \frac{33.82...}{0.766...}$ by GDC / calculator $c = 44.160...$ km $c \approx 44$ km
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