F F A whispering room is one with an elliptically arched

Last updated: 6/6/2023

F F A whispering room is one with an elliptically arched ceiling If someone stands at one focus of the ellipse and whispers something to his friend the dispersed sound waves are reflected by the ceiling and concentrated at the other focus allowing people across the room to clearly hear what he said Suppose such gallery has a ceiling reaching 17 above the five foot high vertical walls at its tallest point so the cross section is half an ellipse topping two vertical lines at either end and suppose the foci of the ellipse are 21 feet apart What is the height of the ceiling above each whispering point height above whispering point feet above the floor