Question

Find the inclination of the line whose slope is `1/sqrt3`.

Find the inclination of a line whose slope (gradient) is `1/sqrt3`.

Answer 1

If tan θ is the slope of a line, then the inclination of the line is tan θ

Here the slope of a line is `(1)/sqrt(3)`; then tan θ = `(1)/sqrt(3)`

Now,

tan θ = `(1)/sqrt(3)`

tan θ = tan 30°

∴ θ = 30°

Hence, the inclination of the given line is θ = 30°.