Answer:
Ok, I did this unit a little while ago but I think I solved it:
Hyp = 16
Opp = 8
Adj = 13.856
0 = 30 degrees
Explanation:
You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.
Now you have to use the pythagorean theorem for the third side (adj), so:
a^2 + 8^2 = 16^2
The answer would be around 13.856 (round to what's required.)
Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:
sin-1(0)=8/16
so on your calculator, you should put:
sin-1(8/16)
the angle measure is 30, meaning its a 30 60 90 triangle.