Question

Find value of x
Find value of y

Answer 1

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
`√(3)` / 3 ) / Hyp ( cos(60) = 1/2 )

Hyp = (8
`√(3)` / 3) / (1/2)

Hyp = 2 ((8
`√(3)` / 3)

Hyp = 16
`√(3)` / 3

x = 16
`√(3)` / 3

Now use SOH

Sin (60) = Opp / 16
`√(3)` / 3 ( sin(60) =
`√(3)`/2 )

(16
`√(3)` / 3)(
`√(3)`/2) = Opp

16 * 3 / 6 = Opp

8 = Opp

y = 8

:)