A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and the vertical clearance must be 12 ft at a point 5 ft from the center. Find an equation for the ellipse. x² OA. 25 = 1 324 x? О в. 324 = 1 45 y² Oc. = 1 45 324 x? y? OD. 45 = 1 144

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 18T: Find the standard form of the equation of the ellipse with vertices(0,2) and (8,2) and minor axis of...
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A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and the vertical clearance must be 12 ft at a point 5 ft from the center. Find an equation for the ellipse.
↑リ
x2
O A.
25
y²
=D1
324
OB.
324
=D1
45
x²
Oc.
45
= 1
324
x2
OD.
45
y2
= 1
144
Transcribed Image Text:A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and the vertical clearance must be 12 ft at a point 5 ft from the center. Find an equation for the ellipse. ↑リ x2 O A. 25 y² =D1 324 OB. 324 =D1 45 x² Oc. 45 = 1 324 x2 OD. 45 y2 = 1 144
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