A tunnel through a mountain for a four-lane highway is to have an elliptical opening, the total width of the highway (not the opening) is to be 16m, and the height at the edge of the road must be sufficient for a truck 4m high to clear if the highest point of the opening is to 5m approximately.How wide must the opening be?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
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A tunnel through a mountain for a four-lane highway is to have an elliptical opening, the total width of the highway (not the opening) is to be 16m, and the height at the edge of the road must be sufficient for a truck 4m high to clear if the highest point of the opening is to 5m approximately.How wide must the opening be?
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