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: 53b



Work Step by Step

Given that there are $16$ steps and each step in the spiral staircase is with the central angle $\frac{\pi}{8}$. So the total angle covered by the staircase $=16\times \frac{\pi}{8}=2\pi$ that is, $360^{\circ}$. Therefore a person climbing the spiral staircase will rotate at an angle of $360^{\circ}$.
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