Question

A line makes an angle of ${30}^o$ with the positive direction of $X$ axis. What is the slope of line.

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

Answer 1

Answer: (C)

$1\sqrt{3}$

As we know that slope of a line making angle $\theta$ with $x$-axis is given as-

$m=\tan \theta$

Given:-

$\theta =30°$

$\therefore m=\tan 30°=\frac{1}{\sqrt{3}}$

Hence the slope of the line is $\frac{1}{\sqrt{3}}$.