Answer:
x = (8√3)/3
Explanation:
Reference angle = 30°
Hypotenuse = x
Side length adjacent to reference angle = 4
Apply CAH, thus:
Cos 30 = Adj/Hyp
Cos 30 = 4/x
x × Cos 30 = 4
x = 4/Cos 30
x = 4/(√3/2) (cos 30 = √3/2)
x = 4 × 2/√3
x = 8/√3
Rationalize
x = (8 × √3)/(√3 × √3)
x = (8√3)/3