## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-6 Trigonometric Ratios - Practice and Problem-Solving Exercises - Page 650: 33

x = 37 degrees

#### Work Step by Step

Use the Tangent rule for the right triangle: oppositeadjacent sin(x) = 5/6.7 Use inverse tangent: $tan^{-1}(5/6.7)$ to calculate x x = 37 degrees

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