Find the equation of the line perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30∘.
We know that, If p is the length of the normal from origin to a line and w is the angle made by the normal with the positive direction of x-axis then the equation of the line is given by xcosw+ysinw=p.
Here, p=5 units and w=30∘
Thus, the required equation of the given line is
xcos30∘+ysin30∘=5