SOLUTION: A railroad crosses a highway over an arch a cross section of which is an semi-ellipse 42 meters long and 12 meters high. there are vertical supports at interval of 7 meters.find th

Question 1186849: A railroad crosses a highway over an arch a cross section of which is an semi-ellipse 42 meters long and 12 meters high. there are vertical supports at interval of 7 meters.find the heights and supports.

Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
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A railroad crosses a highway over an arch a cross section of which is an semi-ellipse 42 meters long
and 12 meters high. there are vertical supports at interval of 7 meters. find the heights and supports.
~~~~~~~~~~~~~~~~~~~~~~~~

An equation of the ellipse is

     +  = 1.


From equation, express

    y = .


The supports are at x = -14, -7, 0, 7, 14.


Therefore, what you need is to calculate this sum


    Sum =  +  +  +  + .


The sum is  52.52  meters  (rounded).    ANSWER

Solved.

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