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: 35

Answer

$c = 95$ ft $\angle B = 23.0˚$ $\angle A = 67.0˚$

Work Step by Step

1. Use the Pythagorean Theorem to solve for $c$ $a^{2} + b^{2} = c^{2}$ $37^{2} + 87^{2} = c^{2}$ $8938 = c^{2}$ $c = \sqrt{8938}$ $c = 94.54099...$ ft $c = 95$ ft 2. Solve for $\angle B$ $tan(B) = \frac{37}{87}$ by GDC / calculator $\angle B = 23.039...˚$ $\angle B = 23.0˚$ 3. Solve for $\angle A$ $90 + (23.039..) + \angle A = 180$ $113.039 + \angle A= 180$ $\angle A = 66.960...˚$ $\angle A = 67.0˚$
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