Question 40

Semielliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a K bridge that is to span a river 14 meters wide. The center of the arch is 3 meters above the center of the river (see the figure). Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch 3 14 . . . Type the left side of the equation below. =1 (Simplify your answer.)