Final answer:
The wavelength is 2.00 m.
Step-by-step explanation:
To determine the wavelength, we can use the formula:
λ = β / n
where λ is the wavelength, β is the path length difference, and n is the order of destructive interference.
In this case, the person is standing 6.00 m from one speaker and 8.00 m from the other speaker.
The path length difference is the difference in distances, which is
8.00 m - 6.00 m = 2.00 m.
Since n = 1, we plug in the values into the formula:
λ = 2.00 m / 1 = 2.00 m
Therefore, the wavelength is 2.00 m.