Aloudspeaker is placed between two observers who are 125 apart, alonq the line connecting them. if one observer (observer a) records a sound level of 55 db and the other (observer b) records a sound level of 85 db, how far is the speaker from each observer? m (from observer a) m (from observer b)

Explanation:

55dB = 5.5 B

85 dB = 8.5 B

For observer A  intensity of sound  I(A) = 10⁵°⁵ unit

For observer B intensity of sound I(B) = 10⁸°⁵.unit

If distance be d₁ for A and d₂ for B

d₁ ²/ d₂²  = 10⁸⁰⁵/10⁵°⁵

= 10³

d₁/d₂ = 31.62 , d₁ + d₂ = 125 m

d₁ =( 125/32.62)  x 31.62 =121.17 m

d₂ = 3.83 m