Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.
Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

We realize that, if a line makes a point of \[\mathbf{30}{}^\circ \]  with the positive bearing of y-pivot estimated against clock-wise , then, at that point, the point made by the line with the positive heading of x-axis measure hostile to clock-wise is \[\mathbf{90}{}^\circ \text{ }+\text{ }\mathbf{30}{}^\circ \text{ }=\text{ }\mathbf{120}{}^\circ \]

The incline of the given line is \[\mathbf{tan}\text{ }\mathbf{120}{}^\circ \text{ }=\text{ }\mathbf{tan}\text{ }\left( \mathbf{180}{}^\circ \text{ }\text{ }\mathbf{60}{}^\circ  \right)\]

\[=\text{ }\text{ }\mathbf{tan}\text{ }\mathbf{60}{}^\circ \]

\[=\text{ }\text{ }\surd \mathbf{3}\]