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 - Mid-Chapter Quiz - Page 515: 23


The angle with a tangent of $1$ would be an angle that measures $45^{\circ}$. This is logical because the tangent ratio is $\frac{opposite}{adjacent}$. In a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle, the two legs (which correspond to opposite and adjacent sides of each of the angles, not including the right angle) would be congruent, so the ratio of their lengths is $1$.

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