(Solved): Solve each triangle \( A B C \) that exists. \[ A=43.5^{\circ} \quad a=9 m \quad b=10.1 \mathrm{~m} ...

Solve each triangle \( A B C \) that exists. \[ A=43.5^{\circ} \quad a=9 m \quad b=10.1 \mathrm{~m} \] Select the correct choice below and, if necessary, fill in the answer boxes within the choice. A. There is only one possible solution for the triangle. The measurements for the remaining angles \( B \) and \( C \) and side \( c \) are as follows. \( \mathrm{B}=0^{\circ} \quad \mathrm{C}={ }^{\circ} \quad \mathrm{C}= \) (Round to the nearest (Round to the nearest (Round to the nearest tenth tenth as needed.) tenth as needed.) as needed.) B. There are two possible solutions for the triangle. The measurements for the solution with the longer side \( \mathrm{c} \) are as follows. \( \mathrm{B}_{1}=\circ \quad \mathrm{C}_{1}=\circ \quad \mathrm{c}_{1}= \) (Round to the nearest (Round to the nearest (Round to the nearest tenth tenth as needed.) tenth as needed.) as needed.) The measurements for the solution with the shorter side \( c \) are as follows. \( \mathrm{B}_{2}={ }^{\circ} \quad \mathrm{C}_{2}=0 \mathrm{c} \mathrm{c}_{2}= \) (Round to the nearest (Round to the nearest (Round to the nearest tenth tenth as needed.) tenth as needed.) as needed.) C. There are no possible solutions for this triangle.