Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.1 - The Law of Sines - 7.1 Problem Set - Page 369: 27

Answer

$y\approx15.82$

Work Step by Step

$A=45^{\circ},s=18,r=15$ For arc-length, $s=r\cdot C$ $18=15\cdot C$ $C=\frac{18}{15} radian$ $C=68.76^{\circ}$ Using laws of sines, $\frac{r}{sinA}=\frac{y}{sinC}$ $\frac{15}{sin45^{\circ}}=\frac{y}{sin68.76^{\circ}}$ $y\approx15.82$
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