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 - Practice and Problem-Solving Exercises - Page 510: 14


$\approx 11.5$

Work Step by Step

The Trigonometric ratios for $sine$ function can be written as follows: $\ Sin=\dfrac{Opposite}{hypotenuse}$ We are given that the length of hypotenuse and the angle. Our aim is to compute the side of opposite to the angle. Therefore, $\sin 35^{\circ}=\dfrac{x}{20}$ This implies that $x=20 \sin 35^{\circ} \approx 11.5$
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