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#62. Civil engineers often design road surfaces with parabolic cross sections to provide water drainage. Assume a road surface on level ground is 32 feet wide and is 0.4 foot higher at its center point than at its edges. (a.) Derive in standard form the equation of that (b.) surface's parabola, assuming the parabola's vertex is at the origin of your coordinate system. Use that equation to calculate the distance from the road's centerline to the point at which the road surface is 0.1 foot lower than at the centerline.

#62. Civil engineers often design road surfaces with parabolic cross sections to provide water drainage. Assume a road surface on level ground is 32 feet wide and is 0.4 foot higher at its center point than at its edges. (a.) Derive in standard form the equation of that (b.) surface's parabola, assuming the parabola's vertex is at the origin of your coordinate system. Use that equation to calculate the distance from the road's centerline to the point at which the road surface is 0.1 foot lower than at the centerline.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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#62. Civil engineers often design road surfaces with parabolic cross sections to provide water drainage. Assume a road surface on level ground is 32 feet wide and is 0.4 foot higher at its center point than at its edges. (a.) Derive in standard form the equation of that (b.) surface's parabola, assuming the parabola's vertex is at the origin of your coordinate system. Use that equation to calculate the distance from the road's centerline to the point at which the road surface is 0.1 foot lower than at the centerline.
Transcribed Image Text:#62. Civil engineers often design road surfaces with parabolic cross sections to provide water drainage. Assume a road surface on level ground is 32 feet wide and is 0.4 foot higher at its center point than at its edges. (a.) Derive in standard form the equation of that (b.) surface's parabola, assuming the parabola's vertex is at the origin of your coordinate system. Use that equation to calculate the distance from the road's centerline to the point at which the road surface is 0.1 foot lower than at the centerline.
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