Question

Find the value of x and the value of y

Answer 1

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$\sqrt{2}$

4$\sqrt{2}$Cos(30) = y

4$\sqrt{2}$$\sqrt{3}$/2 = y

2$\sqrt{6}$ = y

leave the answer for y like that.. it's in  'exact" form

now for x

Sin(30) = x / 4$\sqrt{2}$

4$\sqrt{2}$Sin(30) = x

4$\sqrt{2}$* 1/2 = x

2$\sqrt{2}$ = 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?  :)