Please help me solve this. I struggle with these problems Solve the triangle, if

Question

Please help me solve this. I struggle with these problems

Solve the triangle, if possible. Determine the number of possible solutions. A = 38.3 degree a = 3.2 c=18.5 Select the correct choice below and fill in the answer boxes within the choice. There are 2 possible solutions for the triangle. The measurements for the solution with the longer side b are as follows. m B = (Round to the nearest tenth as needed.) m C = (Round to the nearest tenth as needed.) The length of side b = (Round to the nearest tenth as needed.) The measurements for the solution with the shorter side b are as follows. m B = (Round to the nearest tenth as needed.) m C = (Round to the nearest tenth as needed.) The length of side b = (Round to the nearest tenth as needed.) There is only 1 possible solution for the triangle. The measurements for the remaining angles B and C and side b are as follows. m B = (Round to the nearest tenth as needed.) m C = (Round to the nearest tenth as needed.) The length of side b = (Round to the nearest tenth as needed.) There are no possible solutions for the triangle.

Explanation / Answer

A = 38.3 deg ; a= 3.2 ; c =18.5

Applying sine rule:

a/sinA = c/sinC

sinC = c*sinA/a = 18.5*sin38.3/3.2 = 3.58

sinC cannot be greater than 1

Option C . There are no possible solutions for the triangle

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