Solve the Problem $\frac { x ^ { 2 } } { 330 ^ { 2 } } - \frac { y ^ { 2 } } { 1,361 ^ { 2 } } = 1$

question 109

Multiple Choice

Solve the problem.
-Suppose that two microphones 2,800 m apart at points A = (1,400, 0) and B = (-1,400, 0) detect the sound of a rifle shot. The time difference between the sound detected at A and the sound detected at B is 2 sec. If sound travels at approximately 330 m/sec, find an equation of the hyperbola with foci
At A and B defining the points where the shooter may be located.

• A) \(\frac { x ^ { 2 } } { 330 ^ { 2 } } - \frac { y ^ { 2 } } { 1,361 ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 1,400 ^ { 2 } } - \frac { y ^ { 2 } } { 330 ^ { 2 } } = 1\)
• C) \(\frac { x ^ { 2 } } { 2,800 ^ { 2 } } - \frac { y ^ { 2 } } { 2,721 ^ { 2 } } = 1\)
• D) \(\frac { y ^ { 2 } } { 1,361 ^ { 2 } } - \frac { x ^ { 2 } } { 330 ^ { 2 } } = 1\)

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