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getty102
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Homework Statement
The sound intensity level of a certain sound source is measured by two listeners located at different positions along a line from the source. The listeners are located on the same side of the source and are separated by 34.8 m. The listener that is closest to the source hears the sound with a sound intensity level of 55.8 dB. The sound intensity level of the sound heard by the more distant listener is 49.8 dB.
Homework Equations
β = 10dBlog10(I/I0)
Iav=Pav/4∏r2
The Attempt at a Solution
β2 - β1 = 20dBlog10(r2/r1)
10^((β2-β1)/20) = r2/r1.
r1/r2 = 1/10^((β2-β1)/20)
r1((1/34.8)+1) = 1/10^((β2-β1)/20)
r1 = 1/10^((β2-β1)/20)/((1/34.8)+1)
This doesn't seem to be working, I'm thinking my math is getting messed up somewhere's along the line.