The equation of an ellipse with its major and minor axes oriented alongOriginally Posted by OverclockerR520
the co-ordinate axes, and with its centre at the origin is:
In the case of this arch feet and is the semi-major
axis and feet and is the semi-minor axis. So the
equation of the ellipse is:
Now if we substitute the resulting equation for will give us the required height of the arch 10 feet from the centre.
the positive root is the one which we require so the height is feet.