Solve. Please include a graph with each.

4. Two girls are standing in a whispering gallery that is shaped like semi-elliptical arch. The height of the arch is an feet, and the width is 100 feet. How far from the center of the room should whispering dishes he placed so that the girls can whisper to each other? (Whispering dishes are places at the foci of an ellipse). 5. The design layout of a cooling tower is shown below. The tower stands 1?9.E meters tall. The diameter of the top is T2 meters. At their closest, the sides of the tower are El] meters apart. Find the equation of the hrperhola that models the sides of the cooling tower. Assume that the center of the hyperbola is the orgin of the coordinate plane. 179.6 m E. An ice rink is in the shape of an ellipse, and is 150 feet long and 15 feet wide. 1ll'll'hat is the width of the rink 15 feet from a vertex