SOLUTION: A sound whispered at one focus of a whispering gallery can be heard at the other focus. The figure at the top of the next column shows a whispering gallery whose cross section is a
Question 1107642: A sound whispered at one focus of a whispering gallery can be heard at the other focus. The figure at the top of the next column shows a whispering gallery whose cross section is a semielliptical arch with a height of 24 feet and a width of 80 feet. How far from the room’s center should two people stand so that they can whisper back and forth and be heard?
The ellipse they are talking about, has the major axis of 80 ft long, so the major semi-axis is 40 ft.
It also has the minor semi-axis of 24 ft.
The people should stand at the focuses of this ellipse.
The focuses are remoted from the center of the room for the distance of = = 32 ft.
The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
