81. Whispering galleries: Due to their unique properties, ellipses are used in the construction of whispering galleries like those in St. Paul's Cathedral (London) and Statuary Hall in the U.S. Capitol. Regarding the latter, it is known that John Quincy Adams (1767-1848), while a member of the House of Representatives, situated his desk at a focal point of the elliptical ceiling, easily eavesdropping on the private conversations of other House members located near the other focal point. Suppose a whispering gallery was built using the equation 1² 1, with the dimensions in feet. (a) How tall is the ceiling at its highest point? (b) How wide is the gallery vertex to vertex? (c) How far from the base of the doors at either end, should a young couple stand so that one can clearly hear the other whispering, "I love you."? 2809 2025

81. Whispering galleries: Due to their unique properties, ellipses are used in the construction of whispering galleries like those in St. Paul's Cathedral (London) and Statuary Hall in the U.S. Capitol. Regarding the latter, it is known that John Quincy Adams (1767-1848), while a member of the House of Representatives, situated his desk at a focal point of the elliptical ceiling, easily eavesdropping on the private conversations of other House members located near the other focal point. Suppose a whispering gallery was built using the equation 1² 1, with the dimensions in feet. (a) How tall is the ceiling at its highest point? (b) How wide is the gallery vertex to vertex? (c) How far from the base of the doors at either end, should a young couple stand so that one can clearly hear the other whispering, "I love you."? 2809 2025

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter11: Conics

Section11.3: Ellipses

Problem 143E: In your own words, define an ellipse and write the equation of an ellipse centered at the origin in...

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