Final answer:
The intensity level when the two noises are combined is approximately 0.8 dB.
Step-by-step explanation:
To find the intensity level when two noises are combined, we need to use the formula:
L₂ = 10 * log(I₂/I₁)
Where L₂ is the combined intensity level, I₂ is the intensity of the second noise, and I₁ is the intensity of the first noise.
Using the given intensity levels of 76.2 dB and 79.6 dB:
L₂ = 10 * log(10^(79.6/10)/10^(76.2/10))
Simplifying the equation:
L₂ = 10 * log(10^7.96/10^7.62)
L₂ ≈ 10 * log(15.85/13.18)
L₂ ≈ 10 * log(1.2)
L₂ ≈ 10 * 0.08
L₂ ≈ 0.8 dB
Therefore, the intensity level when the two noises are combined is approximately 0.8 dB.