# Chapter 20 - Traveling Waves - Exercises and Problems - Page 586: 17

The distance between these two points is 2.5 meters.

#### Work Step by Step

We can find the wavelength of the wave as: $\lambda = \frac{v}{f}$ $\lambda = \frac{340~m/s}{120~Hz}$ $\lambda = 2.83~m$ We can find the distance $\Delta x$ between the two points as: $\lambda = \frac{2\pi~\Delta x}{\Delta \phi}$ $\Delta x = \frac{\lambda ~\Delta \phi}{2\pi}$ $\Delta x = \frac{(2.83~m)~(5.5~rad)}{2\pi}$ $\Delta x = 2.5~m$ The distance between these two points is 2.5 meters.

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