In a room shaped like an ellipse, something whispered at one focus can be clearlyheard at the other focus. The U.S. Capitol National Statuary Hall in Washington, D.C. issuch a whispering gallery. From 1807 to 1857 the U.S. House of Representatives met inthis room. According to legend, when John Quincy Adams was a representativefollowing his presidency, he used to look as though he was asleep at his desk duringdebate, but he was listening to what representatives of the opposing party on the otherside of the room were whispering. If the elliptical pattern of this whispering gallery is 92feet long by 58 feet wide, how far from the whisperer at one focus is the listener at theother focus?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 26E: Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what...
icon
Related questions
Question

In a room shaped like an ellipse, something whispered at one focus can be clearly
heard at the other focus. The U.S. Capitol National Statuary Hall in Washington, D.C. is
such a whispering gallery. From 1807 to 1857 the U.S. House of Representatives met in
this room. According to legend, when John Quincy Adams was a representative
following his presidency, he used to look as though he was asleep at his desk during
debate, but he was listening to what representatives of the opposing party on the other
side of the room were whispering. If the elliptical pattern of this whispering gallery is 92
feet long by 58 feet wide, how far from the whisperer at one focus is the listener at the
other focus?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning