Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.3 - The Ambiguous Case - 7.3 Problem Set - Page 391: 45

Answer

a. $23^{\circ}$ or $87 ^{\circ}$

Work Step by Step

$\sin{A}= \dfrac{a \sin{B}}{b} = \dfrac{28 \times \sin{35}}{19} = 0.845$ $A = 57.7^{\circ} \hspace{30pt} A' = 180 - A = 122.3^{\circ}$ $C = 180-(A+B) = 87.3^{\circ} \hspace{30pt} C' = 180-(A'+B) = 22.7^{\circ}$
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