Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Section 11.1 - The Sine Ratio and Applications - Exercises: 25


$\alpha\approx19^{\circ}$ $\beta\approx71^{\circ}$

Work Step by Step

$\sin\alpha=\frac{x}{3x}=\frac{1}{3}$ $\alpha=\sin^{-1}\frac{1}{3}$ $\alpha\approx19^{\circ}$ Sum of interior angles of a triangle $= 180^{\circ}$ $90^{\circ} + \alpha + \beta = 180^{\circ}$ $90^{\circ} + 19^{\circ} + \beta \approx 180^{\circ}$ $\beta\approx71^{\circ}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.