Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 11 - Section 11.3 - The Tangent Ratio and Other Ratios - Exercises - Page 512: 39

Answer

4.13

Work Step by Step

When a pentagon is broken into 10 separate right triangles. each triangle will have an angle of 36 degrees in it, and each triangle will have a leg equal to half of the length of a side. Thus, we find: $tan(36^{\circ}) = \frac{6/2}{a} \\ a = \frac{3}{tan(36^{\circ})} =4.13 $
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.