Problem 02 - Semi-Elliptical Arch in a Stone Bridge Problem A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch. A. 1.41 m C. 1.56 m B. 1.63 m D. 1.73 m Answer Key Click here to show or hide the answer key [ D ] Solution Click here to expand or collapse this section $\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1$ $\dfrac{x^2}{3^2} + \dfrac{y^2}{2^2} = 1$ At x = 1.5 $\dfrac{1.5^2}{9} + \dfrac{y^2}{4} = 1$ $y = 1.732 ~ \text{m}$ ← answer Tags ellipse semi-ellipse elliptical arch stone bridge Log in to post comments Book traversal links for Problem 02 - Semi-Elliptical Arch in a Stone Bridge Problem 01 - Equation of a curve Up The Hyperbola