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 723: 77

Answer

The wingspan $C{C}'$ is $41\text{ feet}$.

Work Step by Step

At first we will reconstitute the graph as below: By observing the figure, we will find angle A: $\begin{align} & A=180{}^\circ -150{}^\circ \\ & =30{}^\circ \end{align}$ Now, we will find d by using the law of sines: $\begin{align} & \frac{d}{\sin A}=\frac{36}{\sin 90{}^\circ } \\ & \frac{d}{\sin 30{}^\circ }=\frac{36}{\sin 90{}^\circ } \\ & d=\frac{36\sin 30{}^\circ }{\sin 90{}^\circ } \\ & d=18 \end{align}$ Therefore, the wingspan $C{C}'$ is $18+5+18=41\text{ feet}$.
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