Answer:

The factor by which the amplitude would change is  k = 0.336

Explanation:

From the question we are told that

   The distance away from the observer is  [tex]d = 20\ ft[/tex]

    The new position of the observer is  [tex]d_1 = 62 \ ft[/tex]

Generally amplitude is inversely proportional to distance

Let A denote the amplitude of the sound at d

So  

     [tex]A = \frac{1}{d}[/tex]

Now the amplitude at a distance 62 ft from the speaker can be mathematically represented as

       [tex]A_1 = \frac{d}{d_1} * A[/tex]

 substituting values

       [tex]A_1 = \frac{20}{62} * A[/tex]

       [tex]A_1 = 0.336 A[/tex]

so the factor by which the amplitude would change is  k = 0.336