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: 1

Answer

$\sin(A)=\frac{4}{5}$

Work Step by Step

The sine of an angle in a right triangle is the ratio of the opposite side to the hypotenuse. The side opposite $A$ has a measure of $8$, and the hypotenuse has a measure of $10$. When we write these in a ratio, we get $\frac{8}{10}$, which simplifies to $\frac{4}{5}$.
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