Answer:
[tex]\frac{4}{3}[/tex][tex]\sqrt{3}[/tex]
Step-by-step explanation:
the ratio of sides of a 30-60-90° triangle, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2
we can solve for 'x' using this proportion:
x/4 = 1/[tex]\sqrt{3}[/tex]
now cross-multiply:
[tex]\sqrt{3}[/tex]x = 4
x = 4/[tex]\sqrt{3}[/tex]
we don't want to leave a radical in the denominator so we can multiply numerator and denominator by [tex]\sqrt{3}[/tex] to get:
4[tex]\sqrt{3}[/tex] / 3 or [tex]\frac{4}{3}[/tex][tex]\sqrt{3}[/tex]
