Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - 8.1 Right Triangle Trigonometry; Applications - 8.1 Assess Your Understanding - Page 519: 47

Answer

(a) $11.83in$ or $5.52in$; (b) See explanations.

Work Step by Step

(a) Given $A=25^\circ$, we have two cases: 1. $a=5in$ then $c=\frac{a}{sinA}=\frac{5}{sin25}\approx11.83in$; case 2: $b=5in$ then $c=\frac{b}{cosA}=\frac{5}{cos25}\approx5.52in$; (b) There are two answers because we do not know if the known side is facing the given angle or not.
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