Respuesta :
we know that
In a [tex]30-60-90[/tex] triangle
the ratio between the lengths of the two legs is equal to the tangent
so
[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]
[tex]tan(60\°)= \sqrt{3}[/tex]
therefore
the answer is
Option B
[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option C
[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option E
[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
It should be noted that the ratio between the lengths of the two legs is B. 1: ✓3.
Ratio.
It should be noted that the ratio between the lengths of the two legs will be equal to the tangent.
In this case, tan (30°) = ✓3/3
Tan (60°) = ✓3
Therefore, the ratio between the lengths of the two legs of a 30-60-90 triangle will be 1 : ✓3.
Learn more about ratio on:
https://brainly.com/question/2328454