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: 31

Answer

$A= 62^\circ50'$, $B= 27^\circ10'$, and $c= 85.9\ yd$

Work Step by Step

Given $a=76.4\ yd, b=39.3\ yd$, we have $tanA=\frac{a}{b}=\frac{76.4}{39.3}$, thus $A=atan(\frac{76.4}{39.3})\approx 62^\circ50'$, $B=90^\circ- 62^\circ50'= 27^\circ10'$, and $c=\sqrt {a^2+b^2}=\sqrt {76.4^2+39.3^2}\approx85.9\ yd$
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