The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound.

A person 14 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 45 feet away?

Question

Mathematics

Adrien Pruitt

4 May, 07:37

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound.

A person 14 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 45 feet away?

+5

Answers (1)

Know the Answer?

Laci Erickson · Answer 1

Answer

7.2593 decibels

Explanation

L ∝ 1/d² Inserting the constant of variation,

L = k/d²

k = Ld²

= 75 * 14²

= 14,700

When d = 45 feet;

L = 14,700/45²

= 14,700/2,025

= 7.2593 decibels

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound.A person 14 feet from a jetski, it is 75 decibels loud.How loud is the jetski when the person is 45 feet away?

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from the source of the sound.

A person 14 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 45 feet away?