Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - Chapter 8 Test Prep - Review Exercises - Page 838: 21

Answer

$$153,600{\text{ }}{{\text{m}}^2}$$

Work Step by Step

$$\eqalign{ & b = {\text{84}}0.{\text{6 m}},c = {\text{715}}.{\text{9 m}},A = {\text{149}}.{\text{3}}^\circ \cr & {\text{Find the area of the triangle using the formula: }}Area = \frac{1}{2}bc\sin A \cr & Area = \frac{1}{2}\left( {{\text{84}}0.{\text{6 m}}} \right)\left( {{\text{715}}.{\text{9 m}}} \right)\sin \left( {{\text{149}}.{\text{3}}^\circ } \right) \cr & {\text{Using a calculator}} \cr & Area \approx 153,600{\text{ }}{{\text{m}}^2} \cr} $$
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