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: 31

Answer

$b\approx5.03, c \approx7.83, A= 50^\circ$

Work Step by Step

Given $a=6, B=40^\circ$, we have $b=a\ tanB=6tan40^\circ\approx5.03, A=90^\circ-40^\circ=50^\circ, c=\frac{b}{sinB}=\frac{6}{sin50^\circ}\approx7.83$
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