What is the value of x in the triangle?

Answer:
A. 4
Step-by-step explanation:
Use the law of sines to solve:
[tex]\frac{sin 90}{8}=\frac{sin30}{x} \\x=8sin30\\x=4[/tex]
Alternate method: use properties of 30-60-90 triangle:
If the hypotenuse of a 30-60-90 triangle has a length of x, then the shortest leg has a measure of [tex]\frac{x}{2}[/tex].
Substitute x and you will get 4 as your answer.