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Answer :
It would take 4.37 seconds for the sound of the anchor hitting the water to reach you.
To determine the time it takes for the sound of the anchor hitting the water to reach you, we need to know the speed of sound in air at the given temperature, which is 20°C.
The speed of sound in air at 20°C is approximately 343 meters per second (m/s).
We can use the formula for time, which is:
[tex]t = \frac{d}{v}[/tex]
where:
- [tex]t[/tex] is the time in seconds (s)
- [tex]d[/tex] is the distance in meters (m)
- [tex]v[/tex] is the speed of sound in air in meters per second (m/s)
Given that the distance [tex]d[/tex] is 1500 meters and the speed of sound [tex]v[/tex] is 343 m/s, we substitute these values into the formula:
[tex]t = \frac{1500}{343}[/tex]
Calculating this gives us:
[tex]t \approx 4.37 \text{ seconds}[/tex]
So, it would take approximately 4.37 seconds for the sound of the anchor hitting the water to reach you.
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