Question 1204594


Law of Sines:

{{{a/sin(alpha)=b/sin(beta)=c/sin(gamma)}}}


given:

{{{alpha=116}}}
{{{a=22}}}
{{{b=16}}}



{{{22/sin(116)=16/sin(beta)}}}

{{{24.477=16/sin(beta)}}}

{{{sin(beta)=16/24.477}}}

{{{beta=sin^-1(16/24.477)}}}

{{{beta=40.819}}}°


then

{{{gamma=180-(116+40.82)}}}

{{{gamma=23.181}}}°


and


{{{22/sin(116)=c/sin(23.18)}}}

{{{c=24.477*sin(23.18)}}}

{{{c=9.63525}}}



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