An arch for a bridge over a highway is in the form of half an ellipse.The top of the arch is 20 feet above the ground level (the major axis).The highway has four lanes, each 12 feet wide; a center safety strip 8 feet wide; and two side strips, each 4 feet wide.What should the span of the bridge be (the length of its major axis) if the height 28 feet from the center is to be 13 feet?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 35E
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An arch for a bridge over a highway is in the form of half an ellipse.The top of the arch is 20 feet above the ground level (the major axis).The highway has four lanes, each 12 feet wide; a center safety strip 8 feet wide; and two side strips, each 4 feet wide.What should the span of the bridge be (the length of its major axis) if the height 28 feet from the center is to be 13 feet?

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