Question

Find the slope of the line which makes an angle of ${30}^o$ with the +ve direction of $y$ - axis measured anticlockwise

Answer 1

If a line makes an angle ${30}^o$ ( when measured anti-clockwise) with positive direction of $y-$ axis, is going to make an angle ${60}^o$ with the positive direction of the $x$ axis.

Then slope of the line is $=\tan \left({60}^o\right)=\sqrt{3}$.