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A whisper room is a room that allows two people to stand on opposite sides of an elliptically shaped room and hear each other’s whispers. The locations at which they can hear one another are the foci of the ellipse. If the room has a major axis of 82 feet and a minor axis of 18 feet, how far apart, in feet are the two people? Do not include a label in your answer.

Respuesta :

they are 80 feet apart.


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They are 80 feet apart.

It is given that major axis is 82 feet and a minor axis is 18 feet.

To find distance between the 2 people.

What is ellipse?

A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.

It is given that major axis is 82 feet and a minor axis is 18 feet.

Semi-major axis=41 ft

semi-minor axis =9 ft

focus (distance between the 2 people)=?

[tex]c^{2} =41^{2} -9^{2} \\\\c^{2} =1681-81\\\\c=\sqrt{1600} \\\\c=40 ft[/tex]

Total focus = 40*2=80 ft.

So, they are 80 feet apart.

Learn more about ellipse here:

https://brainly.com/question/8061314

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