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: 22

Answer

$A= 18^\circ17'$, $B= 71^\circ43'$, $b= 14.5\ m$

Work Step by Step

Use the definitions of sine, we have $sin(A)=\frac{4.80}{15.3}$ which gives $A=asin(\frac{4.80}{15.3})\approx18^\circ17'$, thus angle $B=90^\circ-18^\circ17'=71^\circ43'$. Use Pythagorean's Theorem, we have $b=\sqrt {(15.3)^2-(4.80)^2}\approx14.5\ m$ (or use $b=15.3cosA$)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.