Answer:
\(\sqrt{3}\) or \(\frac{1}{\sqrt{3} }\)
Step-by-step explanation:
There are no any options but we calculate the ratio of leg as the following way.
Construct a 30-60-90 triangle (ΔABC), which shown in the figure.
Let the length of one leg (AB) =\(x\) units, then the length of the other leg (BC) of the triangle=\(BC=tan30*x\) units
\(BC =\frac{1}{\sqrt{3} } *x\) units
\(BC=\frac{x}{\sqrt{3} }\) units
Hence the ratio of legs in the triangle ABC is \(AB:BC = x:\frac{x}{\sqrt{3} } =\sqrt{3}\)
or the ratio of legs in the triangle ABC is \(BC:AB =\frac{x}{\sqrt{3} } :x =\frac{x}{\sqrt{3} } *\frac{1}{x}=\frac{1}{\sqrt{3} }\)
