Wang Jimenez
08/07/2023 · Primary School

13) The inclination \( \theta \) of the line with slope \( =\sqrt{3} \) is :

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The slope \( m \) of a line is related to the angle of inclination \( \theta \) by the formula: \[ m = \tan(\theta) \] Given that the slope \( m = \sqrt{3} \), we can set up the equation: \[ \tan(\theta) = \sqrt{3} \] To find \( \theta \), we need to determine the angle whose tangent is \( \sqrt{3} \). We know that: \[ \tan(60^\circ) = \sqrt{3} \] Thus, the angle of inclination \( \theta \) is: \[ \theta = 60^\circ \] Therefore, the inclination \( \theta \) of the line with slope \( \sqrt{3} \) is: \[ \theta = 60^\circ \]

Quick Answer

The inclination \( \theta \) is \( 60^\circ \).
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