Solving Sound Interference: Distance from Speaker A

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To solve the sound interference problem involving speakers A and B, first calculate the wavelength of the 77 Hz tone using the formula wavelength = speed of sound / frequency, resulting in approximately 4.46 meters. The constructive interference points occur at distances that are integer multiples of the wavelength from speaker A. Given the 8 m separation, the first three points of constructive interference from speaker A are approximately 0 m, 4.46 m, and 8.92 m. The distances indicate that the first point is at the speaker, the second is just past the midpoint, and the third exceeds the distance between the speakers. Understanding these principles is crucial for analyzing sound wave interactions.
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I am having trouble with this problem. If anyone can help it will be greatly appreciated.

Speakers A and B are vibrating in phase. They are directly facing each other, are 8 m apart, and are each playing a 77 Hz tone. The speed of sound is 343 m/s. On the line between the speakers there are three points where constructive interference occurs. What are the distances of these three points from speaker A?

near, farther, and farthest.
 
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