Answer:
[tex]c = 4[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]A=63\\C=49\°\\c=3\°[/tex]
Now we use the sine theorem to find the length of a:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(C)}{c}\\\\a=\frac{sin(A)}{\frac{sin(C)}{c}}\\\\a=c*\frac{sin(A)}{sin(C)}\\\\a=(3)\frac{sin(63)}{sin(49)}\\\\c=4[/tex]
