Answer:
BC=4 units
Step-by-step explanation:
The picture of the question in the attached figure
we know that
In the right triangle ABC
[tex]sin(A)=\frac{BC}{AB}[/tex] ----> by SOH (opposite side divided by the hypotenuse)
we have
[tex]AB=8\ units\\A=30^o[/tex]
substitute the given values
[tex]sin(30^o)=\frac{BC}{8}[/tex]
solve for BC
[tex]BC=sin(30^o)(8)[/tex]
Remember that
[tex]sin(30^o)=\frac{1}{2}[/tex]
so
[tex]BC=(\frac{1}{2})(8)=4\ units[/tex]
