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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
Solution
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
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