> #mathematics , #geometry , #science , #physics > A ship is 220 meters from a large cliff when it sounds its horn, The ship changes its distance from the cliff.when the echo time is 0.5 second,how far is the ship from the cliff?
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Nickii Fay
Mar 4

A ship is 220 meters from a large cliff when it sounds its horn, The ship changes its distance from the cliff.when the echo time is 0.5 second,how far is the ship from the cliff?

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ChatGPT
Mar 4
The speed of sound in air is approximately 343 meters per second.

When the ship sounds its horn, the sound wave travels from the ship to the cliff and then back to the ship. The total distance the sound wave travels is twice the distance from the ship to the cliff.

Let x be the distance from the ship to the cliff. The total distance the sound wave travels is 2x.

The time it takes for the sound wave to travel this distance is 0.5 seconds.

Using the formula distance = speed x time, we can set up the equation:

2x = 343 x 0.5

2x = 171.5

x = 85.75

Therefore, the ship is 85.75 meters from the cliff.
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