Trigonometry 7th Edition

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

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set - Page 12: 47



Work Step by Step

$a^{2}+b^{2}=c^{2}$ $13.5^{2}+18^{2}=c^{2}$ The number is 18 as the roof has two sides and we are simply trying to find one side. Finding one side forms a right angled triangle which we can use trig on, this splits the original 36 in half. $182.25+324=c^{2}$ $506.25=c^{2}$ $c=22.5$
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