Posted by Missy on Saturday, May 5, 2012 at 3:23am.
An architect wishes to design a large room 122 feet long that will be a whispering gallery. The ceiling of the room has a cross section that is an ellipse whose foci are to be located 14 feet to the right and the left of center. Find the height h of the elliptical ceiling ( to the nearest tenth of a foot.)

College algebra  Steve, Saturday, May 5, 2012 at 10:43am
in an ellipse with semi axes a and b, the foci are at distance c from the center, where
a^2 = b^2 + c^2
Here, a = 61 and c = 14
The height will be the semiminor axis, b
61^2 = b^2 + 14^2
b^2 = 3525
b = 59.4
Answer This Question
Related Questions
 precalc  A hall 100 feet in length is to be designed as a whispering gallery. ...
 Trigonometry  Statuary Hal is an elliptical room in the U.S. Capitol. Teh room ...
 math  jim, standing at one focus of a whispering gallery, is 6 feet from the ...
 Calc  Oscar Corporation is planning to construct an elliptical gate at its ...
 Geometry  the walls, floor, and ceiling of a room form a rectangular solid. The...
 math  Erika is painting her living room. The room measures 10.5 feet by 11.5 ...
 math  A school is soundproofing a band room with insulating tiles. The room is ...
 Geometry  A gallon of paint costs $20 and covers 465 square feet. Three coats ...
 algebra  Rhett decides to build a square room for his movie and music ...
 Geometry  1. A point on the ceiling of a room is 12ft. from each of the ...
More Related Questions