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Math Help - Determine vertical height of a ARC

  1. #1
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    Determine vertical height of a ARC

    Hi all,

    I have attached a geometry. For this geometry I would like to determine vertical heights of two arcs(H2 and H3).

    a) QR is a angle line with known length and angle
    b) ST is an arc with known radius. The arc center lies on the whole geometry vertical centerline
    c) RS is an arc with known radius. It is tangent to QR line and ST arc.

    I need to find H1, H2 and H3. H1 is easy to find but I could not able to derive or find the equations for the other two heights. Can someone help me with the solution.

    Also is there a way to find the RS arc centerpoint location based on the X and Y locations of the slant line QR. Any help will be greatly useful.

    Thanks,
    Joel
    Attached Thumbnails Attached Thumbnails Determine vertical height of a ARC-geom.jpg  
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