Answer:
Costructively
Explanation:
The condition for constructive interference is:
[tex]|d_1 -d_2| = n \lambda[/tex] (1)
where
d1 is the distance of the point from the 1st source
d2 is the distance of the point from the 2nd source
n is an integer number
[tex]\lambda[/tex] is the wavelength of the wave (in this case, 6 meters)
In this problem, we are considering a point which is 10 m from both speakers, so we have:
[tex]d_1 = 10 m\\d_2 = 10 m\\d_1 - d_2 = 0[/tex]
And so eq.(1) is satisfied when n=0, which is an integer. Therefore, constructive interference occurs.