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 surface's parabola, assuming the parabola's vertex is at the origin of your coordinate system. (b.) 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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Photogrammetry

Photogrammetry is a technology of taking measurements of physical objects present in the environment, using photographs. It includes the process of recording and analyzing a three-dimension image in the two-dimension form. Photogrammetry was invented around 150 years ago in 1851 by Aimé Laussedat, he was also known as the father of photogrammetry, but this method was not in use until 50 years after its invention. This method was first used in Germany by Dr. Albrecht Meydenbauer in 1893 who was the director of the Royal Prussian Photogrammetric institute founded by him.