SOLUTION: The arch of a bridge is in the shape of a semi-ellipse, with its major axis at the water level. Suppose the arch of 22 ft high in the middle, and 100 ft across its major axis. How

Algebra.Com
Question 1186544: The arch of a bridge is in the shape of a semi-ellipse, with its major axis at the water level. Suppose the arch of 22 ft high in the middle, and 100 ft across its major axis. How high above the water level is the arch, at a point 30 ft from the center (horizontally)? Round off to 2 decimal places.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


With the center of the ellipse at the center of the semi-ellipse, the given information gives the equation of the ellipse as



Plug in x=30 and solve for y....


RELATED QUESTIONS

The arch of a bridge is in the shape of a semiellipse, with its major axis at the water... (answered by KMST)
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the... (answered by greenestamps)
The arch of a bridge forms the upper half of an ellipse. The highest point of the arch is (answered by ikleyn)
The arch of a bridge forms the upper half of an ellipse. The highest point of the arch... (answered by ikleyn)
The arch of a bridge over a two lane highway is in the shape of a semi-ellipse. The... (answered by Alan3354)
a bridge is built in the shape of a parabolic arch. the bridge has a span of 184 ft. and... (answered by greenestamps)
The arch of the bridge forms from the upper half of the bridge forms the upper half of an (answered by ikleyn)
A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 196... (answered by ankor@dixie-net.com)
A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 174... (answered by Fombitz)