Respuesta :

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]