Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.4 Solutions and Applications off Right Triangles - 5.4 Exercises - Page 547: 25

Answer

$A= 17.0^\circ$, $a =39.1\ in$, and $c= 134\ in$

Work Step by Step

Given $B=73.0^\circ, b=128\ in$, we have $A=90.0^\circ-73.0^\circ=17.0^\circ$, $a=b\ tanA=128tan(17.0^\circ)\approx39.1\ in$, and $c=\frac{b}{sinB}=\frac{128}{sin(73.0^\circ)}\approx134\ in$
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