SOLUTION: The arch of a bridge over a two lane highway is in the shape of a semi-ellipse. The distance from the base of the arch on one side of the road to the base on the other is 50 ft.

Question 1150537: The arch of a bridge over a two lane highway is
in the shape of a semi-ellipse. The distance from
the base of the arch on one side of the road to the
base on the other is 50 ft. The height of the arch at
the center is 20 ft. Can a container van that is 14 ft
high and 10 ft wide pass under the bridge without
going over the centerline of the bridge?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Yes, it can.
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Find an equation for the ellipse centered at (0,0), then see if the point (10,14) is inside it.
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PS Not the center line of the bridge, the CL of the road beneath it.

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