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

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Inclination of a Line
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How is the angle of inclination of a line measured?

From positive x-axis anticlockwise

What is the range of values for the angle of inclination θ\theta?

0°≤θ<180°0° \leq \theta < 180°

What is the relationship between gradient mm and angle of inclination θ\theta?

m=tan⁡θm = \tan \theta

What is the angle of inclination for a vertical line?

90°90°

What is the gradient of a horizontal line?

00

What type of angle results when a line has a negative gradient?

Obtuse angle (greater than 90°90°)

For negative gradients, what must be added to convert the reference angle?

180°180°

What calculator mode must be used when calculating angles of inclination?

DEG (degrees)

If a line has gradient m=2m = 2, what is its angle of inclination?

63.4°63.4°

What is the gradient of a line with angle of inclination 135°135°?

−1-1

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