Answer:
[tex]x=15.56[/tex]
Step-by-step explanation:
We can use the law of sines here. However, we will first need to solve for the missing angle.
The interior angles of a triangle add up to 180.
Therefore,
[tex]35+90+x=180[/tex]
where [tex]x[/tex] is the missing angle.
[tex]35+90+x=180[/tex]
[tex]x+125=180[/tex]
[tex]x=55[/tex]
So the missing angle is 55 degrees.
Now we can use the law of sines to set up a proportion.
[tex]\frac{19}{sin(90)}=\frac{x}{sin(55)}[/tex]
Now simplify the equation.
[tex]x=15.56[/tex]
Rounded to the nearest hundredth.
