Question

Find value of x Find value of y

Answer 1

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$\sqrt{3}$  / 3 ) / Hyp       ( cos(60) = 1/2 )

Hyp = (8$\sqrt{3}$ / 3) / (1/2)

Hyp = 2 ((8$\sqrt{3}$ / 3)

Hyp = 16$\sqrt{3}$ / 3

x =  16$\sqrt{3}$ / 3

Now use SOH

Sin (60) = Opp / 16$\sqrt{3}$ / 3      ( sin(60) = $\sqrt{3}$/2 )

(16$\sqrt{3}$ / 3)($\sqrt{3}$/2) = Opp

16 * 3 / 6  = Opp

8 = Opp

y = 8

:)