Answer:
177.83
Explanation:
To find the relative intensity (R) of a sound given its loudness (L) in decibels, we can rearrange the equation L = 10 log R to solve for R.
Start with the equation: L = 10 log R
Divide both sides of the equation by 10: L/10 = log R
Take the antilog (inverse logarithm) of both sides, using base 10: 10^(L/10) = R
Now, substitute the given loudness value L = 85 into the equation to find the relative intensity:
R = 10^(85/10)
Using a calculator, evaluate the expression:
R ≈ 177.82794
Therefore, the relative intensity of the sound with a loudness of 85 decibels is approximately 177.83.