What Determines the Point of Minimum Loudness in Speaker Interference?

[Student3.41]

Homework Statement

Hillary stands directly in front of speaker S1 and walks straight away (down on the page) from S1 as shown in the diagram.

What is the first distance (measured from S1) at which she will hear minimum loudness? Speed of sound is 343 m/s and the frequency of the sound is 587 Hz. The speakers are 2.78 m apart

Can someone explain what the significance of the speaker separation is in problems also??

Homework Equations

The Attempt at a Solution

Solved for Wave length = 0.584m, I then figured minimum loudness would be where constructive interference fisrt meets n=+/-1. So what do i do...

 

[Student3.41]

Noone?, again.. I figured outthe beat question.

 

[Redbelly98]

Minimum loudness will correspond to destructive interference, not constructive interference.

Compare Hillary's distance to S1, with Hillary's distance to S2. What must be true about those distances in order to have destructive interference? (Your textbook or class lecture notes should have something to say about this.)