Coordinate geometry › Parabolas, ellipses and hyperbolas › Arches

Height of semi-elliptical arch

High school · ●●○○○ 20 pts

An arch is in the form of a semi-ellipse. It is 8 m wide at the base and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end (measured horizontally along the base). Round to two decimal places.

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ellipseconic sections