As the drawing shows, one microphone is located at the origin,and a second micro

Question

As the drawing shows, one microphone is located at the origin,and a second microphone is located on the +y axis. Themicrophones are separated by a distance of D = 1.50 m. Asource of sound is located on the +x axis, its distancesfrom microphones 1 and 2 being L1 andL2, respectively. The speed of sound is 343m/s. The sound reaches microphone 1 first, and then, 1.61 ms later,it reaches microphone 2. Find the distances (in m)(a) L1 and(b) L2.

Explanation / Answer

(L2-L1)=0.00161*343 =0.55....(1) By Pythagorean Theorem, L12+1.52=L22 ....(2) By (1), L2= L1+ 0.55 By (2), L1^2 + 1.5^2 = (L1+0.55)^2 -->L1^2 + 2.25 = L1^2+ 1.1 L1 + 0.3025 --> 1.1L1= 2.25 -0.3025 =1.9475 --> L1= 1.9475 /1.1 =1.77m L2= 1.77+0.55= 2.32 m

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