First, find the equation that corresponds to each hyperbola.

Let represents the location of the siren and be the time it take for the sound to travel from point to point .

The distance between points and is feet.

The center of the hyperbola with foci at and is located at .

Thus, .

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Since the person at hears the siren seconds before the person at , the distance from the siren to point is and the distance from the siren to point is .

For the hyperbola

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Here the foci on a vertical axis.

Standard form of the vertical hyperbola is .

Substitute and in standard form.

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 The distance between points and is feet.

The center of the hyperbola with foci at and is located at .

Thus, .

.

Since the person at hears the siren second before the person at , the distance from the siren to point is and the distance from the siren to point is .

For the hyperbola .

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Here the foci on a horizontal axis.

Standard form of the vertical hyperbola is .

Substitute and in standard form.

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Find each possible location of the tornado siren:

Graph the two hyperbola equations.

Identify the intersecting points.

Observe the graph:

The intersecting points are and .

Therefore, the possible location of the tornado siren are at and .

The possible location of the tornado siren are at and .