Precalculus (6th Edition) Blitzer

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

Chapter 4 - Test - Page 647: 20


$ a=4.66; B=69^{\circ}; b=12.14$

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ $\sin 21^{\circ}=\dfrac{a}{13} \implies a=4.66$ and $ b= 13 \cos A=13 \cos 21^{\circ}=12.14$ So, $ B=90^{\circ}- 21^{\circ}=69^{\circ}$ Thus, $ a=4.66; B=69^{\circ}; b=12.14$
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