Answer:
[tex]\Huge\boxed{x = 11.3}[/tex]
Step-by-step explanation:
sin = opposite divided by the hypotenuse
the opposite side of the angle that has a measure of 70 degrees is x and the hypotenuse is 12
so [tex]sin70=\frac{x}{12}[/tex]
we want to isolate the variable using inverse operations
to get rid of the 12 we multiply each side by 12
[tex]\frac{x}{12} *12=x\\sin70*12=12sin70[/tex]
we're left with
[tex]x = 12sin70[/tex]
now we let a calculator do the rest of the work
x = 11.27631145
our final step is to round to the nearest tenth
So we can conclude that x = 11.3
