A straight line makes an angle of 30° with the positive x-axis and cuts the…

Explanation

Cos 30 = 5/x
x cos 30 = 5, => x = 5√3

Coordinates of P = -5, 3, 0
Coordinates of Q = 0, 5
Gradient of PQ = (y₂ - y₁) (X₂ - X₁) = (5 - 0)/(0 -5√3)
= 5/5√3 = 1/√3

Equation of PQ = y - y₁ = m (x -x₁)
y - 0 = 1/√3 (x -(-5√3))

Thus: √3y = x + 5√3

There is an explanation video available .