Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-5 Law of Sines - Lesson Check - Page 524: 4

Answer

$x\approx2.1$ $y\approx3.6$

Work Step by Step

$\frac{sin(119)}{5}=\frac{sin(22)}{x}$--> set terms into Law of Sines $x(\frac{sin(119)}{5})=sin(22)$--> multiply both sides by term x $x=\frac{sin(22)}{\frac{sin(119)}{5}}$--> divide both sides by term $\frac{sin(119)}{5}$ to isolate x $x\approx19.1$ --> plug into a calculator and round to the nearest tenth $\frac{sin(39)}{y}=\frac{sin(119)}{5}$--> set terms equal as per law of sines $sin(39)=y(\frac{sin(119)}{5})$--> multiply both sides by term y $\frac{sin(39)}{\frac{sin(119)}{5}}=y$ --> divide both sides by $\frac{sin (119)}{5}$ to isolate y $3.6\approx y$--> plug into a calculator and round to the nearest tenth
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