We know that, if a line makes an angle of 30° with the positive direction of y-axis measured anti-clock-wise , then the angle made by the line with the positive direction of x- axis measure anti-clock-wise is 90° + 30° = 120°

Plot the figure,

The slope of the given line is tan 120° = tan (180° – 60°)

= – tan 60°

= \(- \sqrt{3}\)

Therefore, the slope of the line, which makes an angle of 30° with the positive direction of y -axis measured anticlockwise is \( \sqrt{3}\) .

Answered by Pragya Singh | 11 months ago

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