One microphone is located at the origin, and a second microphone is located on the +y-axis. The microphones are separated by a distance of D= 1.21m. A source of sound is located on the +x-axis, its distance from microphones 1 and 2 being L1 and L2, respectively. The speed of sound is 342 m/s. The sound reaches microphone 1 first, and then 1.67 ms later it reaches microphone 2. Find the distances (in m) of L1 and L2.
The Attempt at a Solution
First I converted 1.67 ms to .00167 s. I know that vΔt=the extra distance sound must travel to reach mic 2 (.57114 m) and I know that the sound source and two lengths create a right triangle, but I am stuck on how to get the length of L1.