S is a satellite station to a triangulation station A at a distance of 12 m from A.From S the following bearings were observed:A = 0°00'00";B = 143°36'20";C = 238°24'48";D = 307°18'54".The lengths of lines AB, AC, and AD were measured and found to be 3190.32 m, 4085.15,and 3108.60 m,respectively. Determine the directions of B, C, and D from A.<image 1>
['B = 143°44\'00.34";C = 238°10\'11.87";D = 307°08\'20.76"', 'B = 143°44\'00.34";C = 238°14\'11.87";D = 307°08\'20.76"', 'B = 143°44\'00.34";C = 238°16\'11.87";D = 307°08\'20.76"', 'B = 143°44\'00.34";C = 238°12\'11.87";D = 307°08\'20.76"']