Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.3 - Solving Right Triangles - 2.3 Problem Set: 36

Answer

$c = 125$ ft $\angle A = 47.0˚$ $\angle B = 43.0˚$

Work Step by Step

1. Find $c$ $a^{2} + b^{2} = c^{2}$ $91^{2} + 85^{2} = c^{2}$ $c^{2} = 15506$ $c = 124.52$ ft $c = 125$ ft 2. Find $\angle B$ $tan(B) = \frac{85}{91}$ by GDC / calculator $B = 43.047...˚$ $\angle B = 43.0˚$ 3. Find $\angle A$ $90 + 43 + \angle A = 180$ $133 + \angle A = 180$ $\angle A = 47.0˚$
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