Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-3 Trigonometry - Lesson Check: 6

Answer

$\tan(B)=\frac{3}{4}$

Work Step by Step

The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. The side opposite to $B$ has a measure of $6$, and the side adjacent to $B$ has a measure of $8$. When we write these in a ratio, we get $\frac{6}{8}$, which simplifies to $\frac{3}{4}$.
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