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At Zion National Park a loud shout produces an echo 34.50 s later from a colorful sandstone cliff. How far away is the cliff?

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Answer:

The cliff is 5916.75 m far

Step-by-step explanation:

Echo: This is a sound heard after the reflection of sound wave from a plane surface.

v = 2x/t........................... Equation 1

making x the subject of the equation above,

x = vt/2........................... Equation 2

Where v = speed of sound in air, x = distance of the cliff, t = time to produce an echo

Given: t = 34.50 s,

Constant: v = 343 m/s

Substituting these values into equation 2,

x = 343×34.5/2

x = 5916.75 m.

Thus the cliff is 5916.75 m far

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