Choose the one alternative that best completes the statement or answers the question.
Solve the triangle.
-$$\mathrm { b } = 4 , \mathrm { c } = 6 , \alpha = 80 ^ { \circ }$$
A) $\mathrm { a } = 7.61 , \beta = 36.6 ^ { \circ } , \gamma = 63.4 ^ { \circ }$
B) $\mathrm { a } = 6.61 , \beta = 36.6 ^ { \circ } , \gamma = 63.4 ^ { \circ }$
C) $\mathrm { a } = 6.61 , \beta = 63.4 ^ { \circ } , \gamma = 36.6 ^ { \circ }$
D) $a = 5.61 , \beta = 63.4 ^ { \circ } , \gamma = 36.6 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the law of sines, $\frac{b}{\sin \beta} = \frac{c}{\sin \gamma} = \frac{a}{\sin \alpha}$, we find $\beta$ and $\gamma$ and then solve for $a$.

Choose the One Alternative That Best Completes the Statement or Answers