SOLUTION: A person, standing at one focus of a whispering gallery, is 6 feet from the nearest wall. Her friend is standing at the other focus, 100 feet away.
a. What is the length of this w
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Question 1185068: A person, standing at one focus of a whispering gallery, is 6 feet from the nearest wall. Her friend is standing at the other focus, 100 feet away.
a. What is the length of this whispering gallery?
b. How high is its elliptical ceiling at the center?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
a. The two foci are equal distances from the two walls, so the total length of the gallery is 100+2(6)=112 feet.
b. The distance from the center of the gallery to each focus is c=50; the distance from the center to each wall is a=56. The height of the gallery at the center is b, where
Plug in the known values of a and c to calculate b.
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