Question

A line makes an angle of ${30}^{\circ }$ with the positive direction of the x-axis. The slope of the line is _____.

• A. $\sqrt{3}$
• B. 1
• C. $\frac{1}{\sqrt{3}}$
• D. $\frac{\sqrt{3}}{2}$

Answer 1

The correct option is C $\frac{1}{\sqrt{3}}$

Given, $\theta ={30}^{\circ }$

The slope of the line, $m=\tan \theta =\tan {30}^{\circ }$ = $\frac{1}{\sqrt{3}}$