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Math · Trigonometry
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Solve the triangle​ ABC, if the triangle exists.

B = 30 degrees 48 '     a = 38.1      b = 31.2

Select the correct choice below and fill in the answer boxes within the choice.

A. There is only 1 possible solution for the triangle. The measurements for the remaining angles A and C and side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing ​(Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.) ​(Round to the nearest tenth as​ needed.)

B. There are 2 possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing ​(Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.) ​(Round to the nearest tenth as​ needed.) The measurements for the solution with the shorter side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing ​(Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.) ​(Round to the nearest tenth as​ needed.)

C. There are no possible solutions for this triangle.

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