Answer:
Step-by-step explanation:
use SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
then we know the adjacent side and the angle, and want to find the Hyp, so use CAH
Cos(60) = ( 8[tex]\sqrt{3}[/tex] / 3 ) / Hyp ( cos(60) = 1/2 )
Hyp = (8[tex]\sqrt{3}[/tex] / 3) / (1/2)
Hyp = 2 ((8[tex]\sqrt{3}[/tex] / 3)
Hyp = 16[tex]\sqrt{3}[/tex] / 3
x = 16[tex]\sqrt{3}[/tex] / 3
Now use SOH
Sin (60) = Opp / 16[tex]\sqrt{3}[/tex] / 3 ( sin(60) = [tex]\sqrt{3}[/tex]/2 )
(16[tex]\sqrt{3}[/tex] / 3)([tex]\sqrt{3}[/tex]/2) = Opp
16 * 3 / 6 = Opp
8 = Opp
y = 8
:)
