Pre-Calc/Chapter 8: Analytic Geometry in Two- and Three-Dimensions/8.2 Ellipses/8.2.6 Solve Apps: Ellipses Solve the problem.A railroad tunnel is shaped like a semiellipse. The height ... Solve the problem.

A railroad tunnel is shaped like a semiellipse. The height of the tunnel at the center is 34 ft and the vertical clearance must be 30 ft at a point 24 ft from the center. Find an equation for the ellipse. 
]]> 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1.0000000 0.3333333 0 true true abc  +  = 1]]> 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Correct  +  = 1]]> 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Incorrect  +  = 1]]> 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Incorrect  +  = 1]]> 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Incorrect Solve the problem.A satellite is to be put into an elliptical orbit around a ... Solve the problem.

A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of 538 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 834 km to 869 km.
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1.0000000 0.3333333 0 true true abc  +  = 1]]> 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Incorrect  +  = 1]]> 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Incorrect  +  = 1]]> 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Correct  +  = 1]]> 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Incorrect Solve the problem.An elliptical riding path is to be built on a rectangular ... Solve the problem.

An elliptical riding path is to be built on a rectangular piece of property that measures 8 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides
]]> 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1.0000000 0.3333333 0 true true abc  +  = 1]]> 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Incorrect  +  = 1]]> 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Incorrect  +  = 1]]> 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Incorrect  +  = 1]]> 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Correct