Using trig how do you answer this

Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin = [tex]\frac{opposite}{hypotenuse}[/tex], so sin (?) = [tex]\frac{8}{9}[/tex]
this means that ? = [tex]sin^{-1}(\frac{8}{9})[/tex] or ? = arcsin([tex]\frac{8}{9}[/tex]), depending on what calculator you have
plugging in [tex]sin^{-1}(\frac{8}{9})[/tex] or arcsin([tex]\frac{8}{9}[/tex]) into calculator will get you
62.73° or 1.09 radians
use the corresponding answer depending on if the question asks for degrees or radians