Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 528: 22

Answer

x = 6.6ft

Work Step by Step

As we know the sum of all the angles of a triangle are 180° 65°+70°+α = 180° α=180° - (65° +70°) α=180° -135° α=45° Using theorem 11.4.2 Law of sines: $\frac{sine 45°}{5 ft}$ = $\frac{sine 70°}{x}$ x = $\frac{sine 70°}{sine 45°}$ *5 x = 6.6ft
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