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A group of hikers hear an echo 2.6 s after they shout. The temperature is 20 ◦C. How far away is the mountain that reflected the sound wave? At this altitude, the speed of sound in air at 273 K is 328 m/s. Answer in units of m.

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xero099

Answer:

[tex]x = 445.9\,m[/tex]

Explanation:

The velocity of sound in air at 20 °C is 343 meters per second. The distance of mountain can be derived by the following expression:

[tex]2\cdot x = v_{air}\cdot \Delta t[/tex]

[tex]x = \frac{v_{air}\cdot \Delta t}{2}[/tex]

[tex]x = \frac{(343\,\frac{m}{s} )\cdot (2.6\,s)}{2}[/tex]

[tex]x = 445.9\,m[/tex]

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