Answer:
The distance is
Explanation:
From the question we are told that
The distance from the conversation is
The intensity of the sound at your position is
The intensity at the sound at the new position is
Generally the intensity in decibel is is mathematically represented as
The intensity is also mathematically represented as
So
=>
From the logarithm definition
=>
=>
Here P is the power of the sound wave
and A is the cross-sectional area of the sound wave which is generally in spherical form
Now the power of the sound wave at the first position is mathematically represented as
Now the power of the sound wave at the second position is mathematically represented as
Generally power of the wave is constant at both positions so
substituting value