Question

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

Solution

## 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$$\therefore Slope = \tan \theta 120^{\circ} \because \theta = 120^{\circ}$$$$= \tan (180^{\circ}- 60^{\circ})$$$$-\tan 60^{\circ}= -\sqrt{3}$$Maths

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