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A whispering chamber is an elliptically arched chamber. A unique feature of a whispering chamber is that when a person standing at one focus of the ellipse whispers, he can be heard by a person standing at the other focus, regardless of the dimensions of the ellipse from which the dome is built.

Suppose that the dimensions of the ellipse used to create a whispering dome is 140 feet by 300 feet. Manuel stands at one focus, and Michelle stands at the other focus.

How far apart are Manuel and Michelle?

 Jan 16, 2020
 #1
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a  =  300 / 2    = 150

b =   140 / 2  = 70

c  =  √[150^2 - 70^2 ]  ≈  132.665 ft

 

The distance that they are apart  is

 

2c  =  2 ( 132.665)  ≈  265.33 ft 

 

 

cool cool cool

 Jan 16, 2020

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