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: 5


$ a=101.08;c=105.58; A=73.2^{\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} -16.8^{\circ}=73.2^{\circ}$ Now, $ a=30.5 \tan 73.2^{\circ} =101.08$ So, $ c=\dfrac{30.5}{\cos 73.26^{\circ}}=105.58$ Thus, $ a=101.08;c=105.58; A=73.2^{\circ}$
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