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Math Help - Solving height of semi elliptical arc

  1. #1
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    Question Solving height of semi elliptical arc

    The bridge, in the shape of a semi elliptical arch, has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rect coord system and find the height of the arch at distances of 10, 30, and 50 feet from center.

    I believe this would be the equation for the full ellipse:
    x^2/60^2 + y^2/25^2 = 1
    but don't know what to do beyond that...

    How would I go about finding the height at specific distances from center?
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  2. #2
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    Quote Originally Posted by Roxanne4 View Post
    The bridge, in the shape of a semi elliptical arch, has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rect coord system and find the height of the arch at distances of 10, 30, and 50 feet from center.

    I believe this would be the equation for the full ellipse:
    x^2/60^2 + y^2/25^2 = 1
    but don't know what to do beyond that...

    How would I go about finding the height at specific distances from center?
    solve for y ... use the (+) solution (upper arch). y = height ... find y(10) , y(30) , etc.
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  3. #3
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    Quote Originally Posted by skeeter View Post
    solve for y ... use the (+) solution (upper arch). y = height ... find y(10) , y(30) , etc.
    solve for y from the equation I gave?
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  4. #4
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    Quote Originally Posted by Roxanne4 View Post
    solve for y from the equation I gave?
    yes
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