SOLUTION: An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft high. How high is the archway 10 ft away from the center ?

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Question 1092228: An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft high. How high is the archway 10 ft away from the center ?
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
The ellipse has the major axis of 60 ft long; hence, the major semi-axis is 30 ft long.

The minor semi-axis is 25 ft long.


Hence, the ellipse canonical equation is 

 +  = 1.


From it,  y = .


Therefore, to find the answer, substitute x= 10 to the formula and calculate


y =  =  =  = 23.57 ft.


Solved.


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



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