If 100% of the energy hits surface A at 3.3 feet, what percentage hits surface A when moved to 9.9 feet away?

When calculating how sound or light energy disperses over distance, the inverse square law applies. This principle states that the intensity of energy (like sound or light) decreases with the square of the distance from the source.

Initially, at a distance of 3.3 feet, 100% of the energy is impacting surface A. When moved to 9.9 feet, you need to consider the increase in distance. The change in intensity would be calculated as follows:

1. The new distance, 9.9 feet, is three times the original distance of 3.3 feet (9.9 feet / 3.3 feet = 3).

2. According to the inverse square law, the intensity is inversely proportional to the square of the distance. Thus, when the distance is tripled, the energy intensity is reduced by a factor of 3², which is 9.

3. Therefore, the percentage of energy reaching surface A at 9.9 feet can be calculated as follows: 100% divided by 9 equals approximately 11.11%.

In a rounded sense, this represents about 10%, which aligns with the correct answer. Understanding this concept is crucial for AV professionals, as it