Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.1 - The Law of Sines - Exercise Set - Page 720: 38

Answer

The area of the triangle is approximately $\text{157 square meters}$.

Work Step by Step

Area of the triangle $=\frac{1}{2}ac\sin C.$ Putting the values in the formula, we get $\begin{align} & \frac{1}{2}ac\sin C=\frac{1}{2}\left( 16 \right)\left( 20 \right)\left( \sin 102{}^\circ \right), \\ & \approx 157. \end{align}$ The area of the triangle is approximately $157$ square meters.
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