Question

Find the slope of the line , which makes an angle ${30}^{\circ }$ with the positive direction of y-axis measured anticlockwise .

Answer 1

The line l makes an angle ${30}^{\circ }$ with positive y-axis in the anticlockwise direction and it inclines ${120}^{\circ }$ with the positive x-axis
$\therefore Slope=\tan \theta {120}^{\circ }\because \theta ={120}^{\circ }$
$=\tan ({180}^{\circ }-{60}^{\circ })$
$-\tan {60}^{\circ }=-\sqrt{3}$