Question

Find the inclination θ of the line with a slope of m equals 3 fourths (round the angle to the nearest tenth).

Answer 1

Step-by-step explanation

The slope of a line is also the tangent of the angle between the positive x and the line

Hence

`\begin{gathered} \tan \theta=(3)/(4) \\ \tan \theta=0.75 \end{gathered}`

then, we have that

`\begin{gathered} \theta=\tan ^(-1)(0.75)=36.8698 \\ \theta=36.9^0 \end{gathered}`

Therefore the angle of inclination θ=36.9° to the nearest tenth

The third option is correct