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To calculate the approximate increase in distance for a given reduction in sound level, we can use the inverse square law, which states that the intensity of sound decreases by 6 dB for every doubling of the distance from the sound source.

In the example you provided, let's consider a reduction of 15 dB from the initial sound level of 100 dB. Since each 6 dB reduction corresponds to doubling the distance, we can calculate the additional distance as follows:

15 dB reduction = 15 dB / 6 dB = 2.5 doublings

Doubling the distance 2.5 times is equivalent to multiplying the initial distance by 2.5. So, based on this estimation, a 15 dB reduction from 100 dB would allow you to be approximately 2.5 times farther away than the initial distance of 100 feet.

Therefore, the additional distance would be approximately 2.5 x 100 feet = 250 feet.

Again, please note that this estimation is based on the inverse square law and does not account for specific environmental factors or obstacles that may affect sound propagation. It's always advisable to consult with acoustic professionals or conduct specific measurements in the given environment for accurate results.