Question

Slope of a line which makes an angle ${30}^{\circ }$ with the positive direction of the X-axis is _____.

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

Answer 1

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

Slope of a line which makes an angle $\theta$ with the positive direction of the X-axis is $m=tan\theta$.
$\therefore$Slope of the line which makes an angle ${30}^{\circ }$ with the positive direction of the X-axis is $m=tan{30}^{\circ }$ = $\frac{1}{\sqrt{3}}$