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5 - <br /> 0 = tan-1 x <br /> • <br /> where 0 and x are defined as above and y is the difference <br /> between the original elevation of the subsidence monitoring <br /> point and the surface intersection of H (see Figures 1 to <br /> 19 below for illustrations) . <br /> Two sets of points and associated areas of mine workings <br /> were used to approximate the angle of draw (A) ; diagrams <br /> and calculations are included below. The first set in- <br /> volves monitoring points MC-13 and MC-14 and the face of <br /> longwall 102 , Dutch Creek No. 1 mine. MC-13 is the last <br /> monitoring point in the MC-10-16 series on the approximate <br /> centerline of longwall 102 (B bed) that had moved as of <br /> August 9 , 1985 , the date of the last survey, while MC-14 , <br /> 178 feet northwest of MC-13 , was the first point showing <br /> no movement as of that date. The location of the face on <br /> August 9 was approximated by taking the mid-point of measured <br /> face advance as surveyed on August 1 and August 20, 1985 . <br /> H was determined by drawing structure contours on the top <br /> of the coal bed from the nearest available survey control <br /> points in the mine and defining the coal bed elevation by <br /> projecting a straight line from MC-14 back through MC-13 <br /> to the face; determining the surface elevation over this <br /> intersection by projection of the slope between MC-14 and <br /> MC-13 , whose original elevations are precisely known (the <br /> • surface in this area slopes quite evenly, and this method- <br /> was thought to be more accurate than picking the elevation <br /> of the H intersection of the surface off a topographic map) ; <br /> and subtraction. H was thus determined to be 2 ,866 feet, <br /> x, the distance from the longwall face to MC-13 , was 743 <br /> feet, and the slope angle 0 was calculated as- 7 . 90 . Using <br /> the second equation given above, the angle of draw A was <br /> calculated as 14 . 80 . Similarly, for point MC-14 H remains <br /> the same (2 ,866 feet) , as does slope angle 0 (7 . 90°) , with <br /> x measured at 921 feet, giving an apparent angle o°f draw <br /> (remembering that MC-14 had not subsided) of 18 .14 . Clearly, <br /> the actual limit of subsidence is between MC-13 and MC-14 , <br /> which are 178 feet apart; assuming that this limit is actually <br /> half-way between these two points, H and 0 remain the same, <br /> with x equal to 832 feet, giving an approximation of the <br /> actual angle of 16 . 48° <br /> This average, rounded to 16.50 is obviously significantly <br /> less than the 20. 50 stipulated by CMLRD. However, it must <br /> be recognized that in this case the limit of coal extraction, <br /> i.e . the longwall face, is moving, at a rate of approximately <br /> 4 . 5 feet per day during the time period of interest, and that <br /> point MC-13 (as well as MC-10, 11 and 12) has in all likeli- <br /> hood not stabilized. Thus a second set of points, in which <br /> the point which had subsided was stable or nearly so, was also <br /> used to approximate the angle of draw. This set includes con- <br /> trol points TP-2 and TP-4 , monitoring point MC-8 and longwall <br />