In a right triangle, the side that is opposite to a 30 degree angle is equal to half the hypotenuse (you can search it up)
So, the hypotenuse is equal to 3 x 2 = 6
Using the pythagorean theorem, we have :
[tex]x^{2} +3^{2} =6^{2}[/tex]
[tex]x^{2} =6^{2} -3^{2}[/tex] [tex]=36 - 9[/tex] [tex]= 27[/tex]
[tex]x = \sqrt{27}[/tex] [tex]= 5.19615242271...[/tex] (round to 5.2)
Simplify :
[tex]\sqrt{27} = \sqrt{9.3} = 3.\sqrt{3}[/tex]
