Inclination of a Line (Grade 11 NSC Matric Mathematics): Flashcards

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Inclination of a Line
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Angle of inclination definition

Angle a line makes with positive x-axis, measured anticlockwise

Range of angle of inclination (θ\theta)

0°0° to 180°180°

Relationship between gradient (mm) and angle (θ\theta)

m=tan⁡θm = \tan \theta

Angle of inclination for vertical lines

90°90°

Gradient of vertical lines

Undefined

Angle of inclination for horizontal lines

0°0°

Gradient of horizontal lines

00

Type of angle when gradient is negative

Obtuse (greater than 90°90°)

How to find θ\theta when gradient is negative

Add 180°180° to the reference angle

Required calculator mode for inclination calculations

DEG (degrees mode)

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