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 - Review Exercises - Page 532: 10

Answer

$α = 60^{\circ}$

Work Step by Step

$cos(α) = \frac{(14)^{2} + (16)^{2} - (15)^{2}}{2(14)(16)}$ $cos(α)= \frac{196+256-225}{448}$ $cos(α) = \frac{227}{448}$ $cos(α) = 0.50669....$ by GDC / calculator $α = 59.5559...^{\circ}$ $α = 60^{\circ}$
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