SOLUTION: The arch of a bridge forms the upper half of an ellipse. The highest point of the arch is 6 m above the 20-m wide river. Write the equation of the ellipse in which the major axis c

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The arch of a bridge forms the upper half of an ellipse. The highest point of the arch is 6 m above the 20-m wide river. Write the equation of the ellipse in which the major axis c      Log On


   



Question 1119424: The arch of a bridge forms the upper half of an ellipse. The highest point of the arch is 6 m above the 20-m wide river. Write the equation of the ellipse in which the major axis coincides with the water level.
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
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The major semi-axis of the ellipse is 20%2F2 = 10 meters.


The minor semi-axis is 6 meters.


The center is at (0,0).


The standard equation of the ellipse is


x%5E2%2F10%5E2 + y%5E2%2F6%5E2 = 1.

See the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.