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82. Elliptical billiards: While an elliptical billiard table has little practical value, it offers an excellent illustration of elliptical properties. A ball placed at one focus and hit with the cue stick from any angle, will hit the cushion and immediately rebound to the other focus and continue through each focus until coming to rest. Suppose one such table was constructed using the 2² 1² equation += 1 as a model, with the dimensions in feet. (a) How far apart are the vertices? (b) How far apart are the foci? As a side note, Lewis Carroll (1832-1898) did invent a game of circular billiards, complete with rules.

82. Elliptical billiards: While an elliptical billiard table has little practical value, it offers an excellent illustration of elliptical properties. A ball placed at one focus and hit with the cue stick from any angle, will hit the cushion and immediately rebound to the other focus and continue through each focus until coming to rest. Suppose one such table was constructed using the 2² 1² equation += 1 as a model, with the dimensions in feet. (a) How far apart are the vertices? (b) How far apart are the foci? As a side note, Lewis Carroll (1832-1898) did invent a game of circular billiards, complete with rules.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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82. Elliptical billiards: While an elliptical billiard table has little practical value, it offers an excellent illustration of elliptical properties. A ball placed at one focus and hit with the cue stick from any angle, will hit the cushion and immediately rebound to the other focus and continue through each focus until coming to rest. Suppose one such table was constructed using the 1² 1² equation 1 as a model, with the dimensions in feet. (a) How far apart are the vertices? (b) How far apart are the foci? As a side note, Lewis Carroll (1832-1898) did invent a game of circular billiards, complete with rules.
Transcribed Image Text:82. Elliptical billiards: While an elliptical billiard table has little practical value, it offers an excellent illustration of elliptical properties. A ball placed at one focus and hit with the cue stick from any angle, will hit the cushion and immediately rebound to the other focus and continue through each focus until coming to rest. Suppose one such table was constructed using the 1² 1² equation 1 as a model, with the dimensions in feet. (a) How far apart are the vertices? (b) How far apart are the foci? As a side note, Lewis Carroll (1832-1898) did invent a game of circular billiards, complete with rules.
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