Suppose that two people standing $3$ miles apart both see the burst from a fireworks display. After a period of$$ time, the first person standing at point A hears the burst. One second $$later$,$ the second person standing at point B hears the burst. If the person at point B is due west of the person at point A and if the display is known to occur due north of the person at point$$ A$,$ where did the fireworks display$$ occur? Note that sound travels at $1100$ feet per second.