Find the Missing Parts of the Triangle $$\begin{array} { l } B = 40 ^ { \circ } 30 ^ { \prime } \\b = 10.66 \\a = 31.07\end{array}$$

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } B = 40 ^ { \circ } 30 ^ { \prime } \\b = 10.66 \\a = 31.07\end{array}$$
If necessary, round side lengths to the nearest hundredth.

A) $\mathrm { A } = 36 ^ { \circ } 15 ^ { \prime } , \mathrm { C } = 103 ^ { \circ } 15 ^ { \prime } , \mathrm { c } = 38.73$
B) $A = 38 ^ { \circ } 15 ^ { \prime } , \mathrm { C } = 101 ^ { \circ } 15 ^ { \prime } , \mathrm { c } = 41.73$
C) $A = 39 ^ { \circ } 15 ^ { \prime } , C = 102 ^ { \circ } 15 ^ { \prime } , c = 43.23$
D) no such triangle