Find the equation of a line which is at a distance of `5` units from origin and the perpendicular from origin to this line makes an angle of `30^(@)` from the positive direction of `X`-axis.

Explanation

Here `p=5`
`cos alpha=cos30^(@)=(sqrt(3))/(2)`
and `sin alpha=sin30^(@)=(1)/(2)`
`:.` Equation of a line is `x cos alpha+y sin alpha=p`
`implies x(sqrt(3))/(2)+y*(1)/(2)=5`
`implies sqrt(3)x+y=10`