Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 637: 6


$ a=91.86;c=100.39; A=66.2^{\circ}$

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ $ A=90^{\circ} -23.8^{\circ}=66.2^{\circ}$ Now, $ a=40.5 \tan 66.2^{\circ} =91.86$ So, $ c=\dfrac{40.5}{\cos 66.2^{\circ}}=100.39$ Thus, $ a=91.86;c=100.39; A=66.2^{\circ}$
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