Question

Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12

Answer 1

Given length of the perpendicular p = 12

Angle made by the perpendicular α = 30°

The equation the straight line in the normal form is

x cos α + y sin α = p

∴ The required equation of the straight line is

x cos 30° + y sin 30° = 12

`x sqrt(3)/2 + y xx 1/2` = 12

`sqrt(3)x + y` = 24