Use the Law of Sines to Solve, If Possible, the Triangle

Multiple Choice

Use the Law of Sines to Solve, if Possible, the Triangle or Triangles in the Ambiguous Case
- $$\mathrm { C } = 35 ^ { \circ } , \mathrm { a } = 18.7 , \mathrm { c } = 16.1$$

A) $\mathrm { A } _ { 1 } = 42 ^ { \circ } , \mathrm { B } _ { 1 } = 103 ^ { \circ } , \mathrm { b } _ { 1 } = 27.4$ ;
$\mathrm { A } _ { 2 } = 7 ^ { \circ } , \mathrm { B } _ { 2 } = 138 ^ { \circ } , \mathrm { b } _ { 2 } = 3.4$

B) $\mathrm { A } _ { 1 } = 103 ^ { \circ } , \mathrm { B } _ { 1 } = 42 ^ { \circ } , \mathrm { b } _ { 1 } = 27.4$ ;
$$\mathrm { A } _ { 2 } = 138 ^ { \circ } , \mathrm { B } _ { 2 } = 7 ^ { \circ } , \mathrm { b } _ { 2 } = 3.4$$

C) $\mathrm { A } = 42 ^ { \circ } , \mathrm { B } = 103 ^ { \circ } , \mathrm { b } = 27.4$
D) no triangle