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