SOLUTION: The arch of a concrete bridge is a semi-ellipse having a span of 60 meters and a central height of 15 meters. If the road way is 5 meters above the base, find the vertical distance

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The arch of a concrete bridge is a semi-ellipse having a span of 60 meters and a central height of 15 meters. If the road way is 5 meters above the base, find the vertical distance      Log On


   

Question 1172621: The arch of a concrete bridge is a semi-ellipse having a span of 60 meters and a central height of 15 meters. If the road way is 5 meters above the base, find the vertical distance of the arch to the roadway 15 meters from the center of the bridge.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
 


We want the length of the blue line so we subtract the y-coordinates
of the endpoints:

15sqrt%283%29%2F2-5+=+12.99038106-5+=+7.990381057meters

Edwin