Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 11 - Section 11.1 - The Sine Ratio and Applications - Exercises - Page 497: 39a

Answer

$s \times sin36^{\circ}$

Work Step by Step

We know that each angle of a pentagon is 108 degrees. Thus, the bisected angle is 54 degrees, making the other angle 36 degrees. Thus, we solve for the altitude: $sin36^{\circ} = \frac{h}{s} \\ h = s \times sin36^{\circ}$
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