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 390: 13

Answer

$B = 28.125^\circ \hspace{10pt} C =39.675^\circ \hspace{10pt} c =30.2\, cm$

Work Step by Step

$\sin{B} = \dfrac{b \sin{A}}{a} = \dfrac{22.3 \times \sin{122.2^\circ}}{43.8}$ $\sin{B} = 0.471$ $B = 28.125^\circ \hspace{40pt} B' = 180-B = 151.875^\circ$ $A+B' = 264.075^\circ > 180^\circ \hspace{10pt} \therefore B'$ is refused. $C = 180-(A+B) = 39.675^\circ$ $c = \dfrac{a \sin{C}}{\sin{A}} = \dfrac{43.8 \times \sin{39.675}}{\sin{112.2}} = 30.2 \, cm$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.