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