Solve tan(30°)

Step-by-step solution

1. In a $30$-$60$-$90$ triangle, side ratios are $1 : \sqrt{3} : 2$.

2. Opposite/adjacent for the $30°$ angle: $\tan(30°) = \frac{1}{\sqrt{3}}$.

3. Rationalise: $\frac{1}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}}{3}$.