Solve Applied Problems Involving Hyperbolas
-Two Recording Devices Are Set $933.33$

Solve Applied Problems Involving Hyperbolas
-Two recording devices are set 3200 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 400 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?

A) $933.33$ feet
B) $4098.78$ feet
C) $1549.19$ feet
D) $1763.83$ feet