## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Right Triangles and Trigonometry - 8-3 Trigonometry - Practice and Problem-Solving Exercises - Page 510: 17

#### Answer

$\approx 17.0$

#### Work Step by Step

The Trigonometric ratios for $sine$ function can be written as follows: $\ Sin \theta =\dfrac{Opposite}{hypotenuse}$ We are given that the side of opposite to the angle and and the angle. Our aim is to compute the length of hypotenuse . Therefore, $\sin 36^{\circ}=\dfrac{10}{x}$ By using a calculator, we have: $x=\dfrac{10}{ \sin 36^{\circ}} \approx 17.0$

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