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 - Chapter Test - Page 537: 16

Answer

$x \approx 9.5$

Work Step by Step

We are given the measure of the hypotenuse of the right triangle and the measure of one of its angles; we can use the cosine ratio to find $x$, which is the measure of the side adjacent to the angle. The cosine ratio is given as follows: cos $x^{\circ} = \frac{adjacent}{hypotenuse}$ Let's plug in what we know: cos $58^{\circ} = \frac{x}{18}$ Multiply each side by $18$: cos $58^{\circ}(18) = x$ Multiply to solve for $x$: $x \approx 9.5$
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