Solve the problem.
-$$a = 6 , b = 8 , \gamma = 70 ^ { \circ }$$
A) $\mathrm { c } = 9 , \alpha = 52.8 ^ { \circ } , \beta = 57.2 ^ { \circ }$
B) $c = 6.3 , \alpha = 28.6 ^ { \circ } , \beta = 81.4 ^ { \circ }$
C) $c = 8.2 , \alpha = 43.5 ^ { \circ } , \beta = 66.5 ^ { \circ }$
D) $c = 10 , \alpha = 56.9 ^ { \circ } , \beta = 53.1 ^ { \circ }$

Question

Quizplus · Accepted Answer

Using the law of cosines, $c = \sqrt{a^2 + b^2 - 2ab \cos(\gamma)}$, we find $c \approx 8.2$. Then using the law of sines, $\alpha \approx 43.5^\circ$ and $\beta \approx 66.5^\circ$.

Solve the Problem a=6,b=8,γ=70∘a = 6 , b = 8 , \gamma = 70 ^ { \circ }a=6,b=8,γ=70∘

Solve the Problem $a = 6 , b = 8 , \gamma = 70 ^ { \circ }$