Precalculus (6th Edition)

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

Chapter 8 - Application of Trigonometry - 8.1 The Law of Sines - 8.1 Exercises - Page 757: 77

Answer

$$356{\text{ c}}{{\text{m}}^2}$$

Work Step by Step

$$\eqalign{ & B = {\text{124}}.{\text{5}}^\circ ,a = {\text{3}}0.{\text{4 cm}},c = {\text{28}}.{\text{4 cm}} \cr & {\text{Find the area of the triangle using the formula }}A = \frac{1}{2}ac\sin B \cr & A = \frac{1}{2}\left( {{\text{3}}0.{\text{4 cm}}} \right)\left( {{\text{28}}.{\text{4 cm}}} \right)\sin \left( {{\text{124}}.{\text{5}}^\circ } \right) \cr & {\text{Using a calculator}} \cr & A \approx 356{\text{ c}}{{\text{m}}^2} \cr} $$
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