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: 41

Answer

$b \approx4.58, A \approx23.6^\circ, B \approx66.4^\circ$

Work Step by Step

Given $a=2, c=5$, we have $b=\sqrt {c^2-a^2}=\sqrt {21}\approx4.58, A=sin^{-1}\frac{a}{c}=sin^{-1}\frac{2}{5} \approx23.6^\circ, B=90^\circ-A\approx66.4^\circ$
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