2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood. The ellipse will be drawn using a string attached to the board at the foci of the ellipse. a. How far from the ends of the board should the strings be attached? b. How long should the string be? 3 ft F2 F1 4 ft

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 68E: Plywood Ellipse A carpenter wishes to construct an elliptical table top from a 4 ft by 8 ft sheet of...
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2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of
plywood. The ellipse will be drawn using a string attached to the board at the foci of
the ellipse.
a. How far from the ends of the board should the strings be attached?
b. How long should the string be?
3 ft
F2
F1
4 ft
Transcribed Image Text:2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood. The ellipse will be drawn using a string attached to the board at the foci of the ellipse. a. How far from the ends of the board should the strings be attached? b. How long should the string be? 3 ft F2 F1 4 ft
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