An ellipse has an eccentricity of 1/3 and the distance between the foci is equal to 4. Compute the distance from the farthest vertex to one of its directrix. 10. A bridge is built in the shape of a semi-elliptical arch. The bridge has a span of 60 m and maximum height of 20 m. Find the height of the arch at a distance of 5 m from the center.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
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9. An ellipse has an eccentricity of 1/3 and the distance between the foci is equal to 4. Compute the distance from the farthest vertex to one of its directrix. 10. A bridge is built in the shape of a semi-elliptical arch. The bridge has a span of 60 m and maximum height of 20 m. Find the height of the arch at a distance of 5 m from the center.
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