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

Find The Inclination Θ Of The Line With A Slope Of M Equals 3 Fourths Round The Angle To The Nearest Tenth class=

Sagot :

EXPLANATION

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

Hence

[tex]\begin{gathered} \tan \theta=\frac{3}{4} \\ \tan \theta=0.75 \end{gathered}[/tex]

then, we have that

[tex]\begin{gathered} \theta=\tan ^{-1}(0.75)=36.8698 \\ \theta=36.9^0 \end{gathered}[/tex]

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

The third option is correct

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