Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Section 11.3 - The Tangent Ratio and Other Ratios - Exercises - Page 518: 23

Answer

$θ = 56^{\circ}$ $γ = 34^{\circ}$

Work Step by Step

1. Find $θ$ $sin = \frac{opposite}{hypotenuse}$ $sin(θ) = \frac{5}{6}$ by GDC / calculator $θ = 56.4426...^{\circ}$ $θ = 56^{\circ}$ 2. Find $ γ$ $cos = \frac{adjacent}{hypotenuse}$ $cos(γ) = \frac{5}{6}$ by GDC / calculator $γ = 33.5573...^{\circ}$ $γ = 34^{\circ}$
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