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: 32

Answer

$b \approx8.34, A= 40^\circ, c \approx10.89$

Work Step by Step

Given $a=7, B=50^\circ$, we have $b=a\ tanB=7tan50^\circ\approx8.34, A=90^\circ-50^\circ=40^\circ, c=\frac{a}{sinA}=\frac{7}{sin40^\circ}\approx10.89$
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