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 ->  Quadratic-relations-and-conic-sections -> 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       Log On


   



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) About Me  (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

x%5E2%2F50%5E2%2By%5E2%2F22%5E2=1

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