Two loudspeakers are mounted on a lab stand, one $\backslash ($ h$=3\mathrm{.}44\backslash$mathrm$\{$~m$\}\backslash )$ above the other. Exactly $8\mathrm{.}00$ meters to the right of the midpoint, a microphone rests at point $\backslash ($ O $\backslash ).$ Point $\backslash ($ O $\backslash )$ is equally distant from each loudspeaker.

The loudspeakers are driven by the same tone generator and vibrate in phase at $520$ Hz $.$ place. What is the smallest vertical distance $($in m $)$ that you would need to raise the upper speaker by$,$ in order to create destructive interference at Point $\backslash ($ O $\backslash )?($The speed of sound waves in air is $\backslash (343\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).)$

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