Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.2 Define General Angles and Use Radian Measure - 13.2 Exercises - Problem Solving - Page 864: 53a

Answer

$16.5$ inches

Work Step by Step

The length of the arc formed by the outer edge of the step is the product of the radius of the step and the central angle. Length of the arc $=42\left(\frac{\pi}{8}\right)\approx 16.5$ Therefore the length of the arc formed by the outer edge of a step is about $16.5$ inches.
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