Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 111: 35a


about 11.62 in

Work Step by Step

Arc length s (for central angle $\theta$):$ \quad s=r\theta$, where $\theta$ is in radians Converting between Degrees and Radians 1. Multiply a degree measure by $\displaystyle \frac{\pi}{180}$ radian and simplify to convert to radians. 2. Multiply a radian measure by $\displaystyle \frac{180^{\mathrm{o}}}{\pi}$ and simplify to convert to degrees. ------------------- The weight will be raised for the length of the arc of the pulley as it rotates through the given angle. The angle needs to be in radians $\displaystyle \theta=(71+\frac{50}{60})\cdot\frac{\pi}{180}$ $ s=r\displaystyle \theta=9.27(71+\frac{50}{60})\cdot\frac{\pi}{180}\approx$11.6220602226 ... about 11.62 in.
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