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LOCATIONS OF POINTS - 14071_375
QUESTIONS - 14071_377

Engineering Aid 2 - Intermediate Structural engineering guide book
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180°00´00´´ – (42°19´08´´ + 44°51´59´´ + 47°28´43´´), or S45°20´10´´W. The bearing of CD is equal to angle C minus the bearing angle of BC. Coordinates Suppose that you are tying the quadrilateral shown in figure 15-29 into a state grid system. The nearest monument  in  this  system  lies  1,153.54  feet  from station  D, bearing  S50°16´36´´W  from  D, as shown in figure 15-30. This means that the bearing from the monument to D is N50°16´36´´E. Suppose that the grid coordinates of the monument are y = 373,462.27 feet and x =562,496.37 feet. The  latitude  of  the  line  from  the  monument  to station D is 1,153.54 cos 50°16´36´´, or 737.21 feet. The departure of the same line is 1,15354 sin 50°16´36´´, or Figure 15-30.—Coordinates. You would find the bearing of  BC and CD similarly, except that you have to watch for the angle you are after. Always remember that a bearing angle does not exceed 90° and is always reckoned from north or south. To find  the  bearing  of  BC,  you  must  find  the  sum  of angle B (angles 3 and 4, fig. 15-28) plus the bearing angle of AB and then subtract it from 180°; you can see  that   BC  bears  southwest,  so  just  add  this designation to the proper place in the bearing angle for  BC.  In  this  case,  the  bearing  of  BC  will  be 887.23 feet. The  y  coordinate  of  station  D  equals  the  y coordinate of the monument plus the latitude of the line from the monument to D, or 373,462.27 + 737.21, or 374,199.48 feet. The x coordinate of station  D equals the x coordinate of the monument plus the departure of the line from the monument to  D, or 562,496.37 + 887.23, or 563,383.60 feet. Knowing the coordinates of station  D, you can now determine the coordinates of station  A. The latitude of DA  is  700.00  cos  15°00´00´´,  or  676.15  feet.  The departure of  DA is 700.00 sin 15°00´00´´, or 181.17 feet. The   y   coordinate   of   station   A  is  equal  to  the  y coordinate  of  station  D plus the latitude of  DA, or Figure  15-31.—Sun  observation  field  notes. 15-40







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