1. A fireworks shell explodes H=110 m above the ground, creating colorful sparks. How much greater is the sound level of the explosion for a person at a point directly below the explosion than for a person a horizontal distance of L=190 m away?

*A fireworks shell explodes H=110 m above the ground, creating colorful sparks. How much greater is the sound level of the explosion for a person at a point directly below the explosion than for a person a horizontal distance of L=190 m away?*

The intensity of the sound waves drops off as 1/r

^{2}where r is the distance from the point where the sound is made. One observer is at a distance r_{1}=110 m; the other is at a distance of r_{2}^{2}= 110^{2}+ 190^{2}from the explosion.Take the ratio of observer 1's sound level to observer 2's:

(1/r

_{1}^{2}) / (1/r_{2}^{2}) = r_{2}^{2}/r_{1}^{2}Plug in the values of r

_{1}and r_{2}to solve.
## Comments

_{10}(3.98) = 6