Answer:
So the sound intensity level they would experience without the earplugs is 110.32dB.
Explanation:
Given data
Sound intensity by factor =215
Sound intensity level =87 dB
To find
Sound intensity level they would experience without the earplugs
Solution
First we need to find the new sound intensity level
So
[tex]I_{n}=215(10^{\frac{87}{10} } )\\I_{n}=1.08*10^{11})[/tex]
The dB can be calculated as:
[tex]dB=10log(I_{n})\\[/tex]
Substitute the given values
[tex]dB=10log(1.08*10^{11})\\dB=110.32dB[/tex]
So the sound intensity level they would experience without the earplugs is 110.32dB.