Solve the problem.
-$$\mathrm { b } = 4 , \mathrm { c } = 6 , \alpha = 80 ^ { \circ }$$
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) $a = 6.61 , \beta = 63.4 ^ { \circ } , \gamma = 36.6 ^ { \circ }$
D) $a = 5.61 , \beta = 63.4 ^ { \circ } , \gamma = 36.6 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the law of cosines, $ a^2 = b^2 + c^2 - 2bc \cdot \cos(\alpha) $, we find $ a \approx 6.61 $. Then using the law of sines, $\beta \approx 36.6^\circ$ and $\gamma \approx 63.4^\circ$.

Solve the Problem b=4,c=6,α=80∘\mathrm { b } = 4 , \mathrm { c } = 6 , \alpha = 80 ^ { \circ }b=4,c=6,α=80∘

Solve the Problem $\mathrm { b } = 4 , \mathrm { c } = 6 , \alpha = 80 ^ { \circ }$