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A straight line has a negative gradient. What angle does it make with the positive horizontal direction?
AAn acute angle
BA right angle
CAn obtuse angle
DA zero angle
Answer & Solution
Correct answer: C. An obtuse angle
1. The angle of inclination is measured from the positive horizontal direction up to the line.
2. A line with a positive gradient rises to the right, giving an acute angle.
3. A line with a negative gradient falls to the right instead.
4. The angle formed between such a line and the positive horizontal direction is obtuse.
5. A calculator returns a negative angle for a negative gradient, which lies in the fourth quadrant.
6. That negative angle is turned into the obtuse angle by adding half a revolution.
7. A zero angle belongs to a horizontal line, whose gradient is zero rather than negative.
_Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 4: Analytical geometry_