SOLUTION: if a whispering gallery has a height of 30 feet and a width of 100 feet. where should 2 peaople stand if ther would like to whisper back and forth and be heard?
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Question 1087505: if a whispering gallery has a height of 30 feet and a width of 100 feet. where should 2 peaople stand if ther would like to whisper back and forth and be heard?
Answer by ikleyn(52935) (Show Source): You can put this solution on YOUR website!
.
Half of the ellipse with semi-axes a = 50 feet and b = 30 feet.
The focal distance is 2c = = = = 2*40 = 80 feet.
The two persons should stay at the distances of 40 ft from the center point, at the foci of the ellipse.
See the lessons
- Ellipse definition, canonical equation, characteristic points and elements
- Ellipse focal property
- Optical property of an ellipse
- Optical property of an ellipse revisited
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".
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