Answer:
0.2897m
Explanation:
First of all, Let the distance between the two speakers be D
Likewise, let f represent frequency emitted by the two speakers in phase.
Speed of sound has a constant value given as; v = 343 m/s
Let wavelength be λ
Frequency;f =296 Hz
The formula for destructive interference is given by;
⎮d1-d2⎮=λ/2
Wavelength λ is unknown, so let's find it.
Wavelength is given by the equation λ=v/f,
Where v = speed and f is frequency
Thus, λ=v/f = 343/296 = 1.1588 m
Let's plug in this value for λ, in the destructive interference equation and we obtain;
d1-d2= 1.1588/2
d1-d2 = 0.5794
Now the distance moved on either side is; D/2
Thus, D/2 = 0.5794/2 = 0.2897m
So, the observer has to walk 0.2897m toward either speaker to first experience destructive interference