You are a helpful assistant. When the user asks a question, your response must include two parts: first, the reasoning process enclosed in <think>...</think> tags, then the final answer enclosed in <answer>...</answer> tags.Please provide a clear, concise response within <answer> </answer> tags that directly addresses the question.
system
<image>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>
A. B = 143°44'00.34";C = 238°10'11.87";D = 307°08'20.76"
B. B = 143°44'00.34";C = 238°14'11.87";D = 307°08'20.76"
C. B = 143°44'00.34";C = 238°16'11.87";D = 307°08'20.76"
D. B = 143°44'00.34";C = 238°12'11.87";D = 307°08'20.76"

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
user
C
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>
A. B = 143°44'00.34";C = 238°10'11.87";D = 307°08'20.76"
B. B = 143°44'00.34";C = 238°14'11.87";D = 307°08'20.76"
C. B = 143°44'00.34";C = 238°16'11.87";D = 307°08'20.76"
D. B = 143°44'00.34";C = 238°12'11.87";D = 307°08'20.76"

Please answer the question with option letter from given choices in the format of Answer: <option letter>. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. Please answer the final answer within the <answer> </answer> tags.
val