Find the value of x and the value of y

Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use Cos for y .... b/c we see that function above has all the pieces we are going to work with
use Sin for x .. for the same reason above
Cos(30) = y / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Cos(30) = y
4[tex]\sqrt{2}[/tex][tex]\sqrt{3}[/tex]/2 = y
2[tex]\sqrt{6}[/tex] = y
leave the answer for y like that.. it's in 'exact" form
now for x
Sin(30) = x / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Sin(30) = x
4[tex]\sqrt{2}[/tex]* 1/2 = x
2[tex]\sqrt{2}[/tex] = x
and leave your answer for x like that as it's in it's exact form. :)
oh and I see the answer in the list.. do you? :)