Answer:
x = (2√6)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = x
Adjacent = √2
Thus, applying trigonometric ratio, we have:
Cos(30) = adj/hyp = √2/x
x*cos(30) = √2
x = √2/cos(30)
x = √2/(√3/2) (cos 30 = √3/2)
x = √2 × 2/√3
x = (2√2)/√3
Rationalize
x = (2√2 × √3)/(√3 × √3)
x = (2√6)/3
