I am not sure if I solved these correctly, because I got two answers or I got stuck along the way of solving them, please help:

1. Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation. Vertex at (0,0); axis of symmetry the y-axis; containing the point (5,6)

2.Suppose that two people standing 5 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. Three seconds 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.

3.A hall 100 feet in length is to be designed as a whispering gallery. If the foci are located in 10 feet from the center, how high will the ceiling be at the center?The ceiling will be about ____high.(Type an integer or decimal rounded to one decimal place as needed.)