Final answer:
The frequency of the sound waves is 171.50 Hz.
Step-by-step explanation:
In order to determine the frequency of the sound waves, we can use the formula:
F = (v / (2d)) * n
where F is the frequency, v is the speed of sound, d is the distance between the two speakers, and n is the order of interference.
In this case, the person is standing 6.00 m away from one speaker and 8.00 m away from the other.
Since the speakers are identical, the distance between them is 2.00 m.
Since the student hears destructive interference at n = 2, we can plug in the values:
F = (343.00 m/s / (2 * 2.00 m)) * 2
Simplifying the equation gives:
F = 171.50 Hz