Answer:
[tex]\Huge\boxed{x=33.2}[/tex]
Step-by-step explanation:
Hello there!
We can solve for x using law of sines
As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)
So we can use this equation to solve for x
[tex]\frac{21}{sin(35)} =\frac{x}{sin(65)}[/tex]
Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)
[tex]\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}[/tex]
we're left with
[tex]x=\frac{21sin(65)}{sin(35)}\\x=33.18208755[/tex]
assuming we have to round the answer would be 33.18 or 33.2
