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 389: 11

Answer

$B = 54.2^\circ \hspace{10pt} C= 87.8^\circ \hspace{10pt} c =66.55 ft$ $B' =125.8^\circ \hspace{10pt} C'=16.2^\circ \hspace{10pt} c' = 18.58 ft$

Work Step by Step

$\sin{B} = \dfrac{54 \times \sin{38^\circ}}{41} = 0.811$ $B = 54.2^\circ \hspace{40pt} B' =180-B= 125.8^\circ $ $C = 180-(A+B) = 87.8^\circ$ $c = \dfrac{41 \times \sin{87.8^\circ}}{\sin{38}} = 66.55 ft$ $C'= 180-(A+B') = 16.2^\circ$ $c' = \dfrac{41 \times \sin{16.2^\circ}}{\sin{38}} = 18.58 ft$
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