Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 11 - Review Exercises - Page 532: 16

Answer

$B = 54^{\circ}$

Work Step by Step

1. Using area formula $9.7 = \frac{1}{2}(4)(6)sin(B)$ $9.7 = \frac{1}{2}(24sin(B))$ $19.4 = 24sin(B)$ $.808333... = sin(B)$ by GDC / calculator $B = 53.933...^{\circ}$ $B = 54^{\circ}$
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