Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 11 - Section 11.1 - The Sine Ratio and Applications - Exercises - Page 504: 19

Answer

$c\approx8.8$ $d\approx28.7$

Work Step by Step

$\sin17^{\circ}=\frac{c}{30}$ $c=30\times\sin17^{\circ}$ $c\approx8.8$ Using Pythagorean Theorem to find $d$. $d=\sqrt {30^{2}-c^{2}}$ $d\approx\sqrt{30^{2}-8.8^{2}}$ $d\approx28.7$
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