Help me on this qeustion please.
We know two sides and an included angle....and we are looking for the opposite side
The Law of Cosines is what we need....so
x^2 = 8^2 + 12^2 - 2(8)(12)cos 150 simplify
x^2 = 64 + 144 - (192) (-sqrt (3) / 2)
x^2 = 64 + 144 + (192) (sqrt (3) / 2) take the square root of both sides
x = √ [ 64 + 144 + (192) (sqrt (3) / 2) ]
x ≈ 19.35
Oh so you replace the Cos 150 with sqrt(3)/2...
I thought you had to solve that lol.
I need to read the qeustion slower.