Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.4 Solving Right Triangles - 2.4 Exercises - Page 73: 27

Answer

$\angle A =36^{\circ}$ $\angle B = 54^{\circ}$ $b\approx 17.8 m$

Work Step by Step

1. $c = 22m$ and $a =13 m$ 2. $\angle A = \sin^{-1} \frac{13}{22} = 36.2^{\circ}$ 3. $\cos 36.2^{\circ} =\frac{b}{22}$ $b \approx 17.8 m$ 4. $\angle B = 180^{\circ} -90^{\circ} -36.2 ^{\circ} = 53.8^{\circ}$ 5. Answers in 2 significant figures as given values $\angle A= 36^{\circ}$ and $\angle B = 54^{\circ}$
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