Gr 11 Math Ch 4: Inclination of a Line
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Questions and Answers

What is the angle formed by a straight line with the positive x-axis?

  • The angle of inclination (correct)
  • The angle of depression
  • The angle of rotation
  • The angle of elevation

    • What is the relationship between the gradient of a line and its angle of inclination?

  • m = θ
  • m = sin(θ)
  • m = cos(θ)
  • m = tan(θ) (correct)

    • What is the gradient of a vertical line?

  • Undefined (correct)
  • 1
  • ∞
  • 0

    • What is the angle of inclination of a horizontal line?

    <p>0°</p> Signup and view all the answers

    If a line has a negative gradient, what can be said about the angle of inclination?

    <p>It is obtuse</p> Signup and view all the answers

    What is the formula to adjust the angle of inclination for a line with a negative gradient?

    <p>θ = 180° + tan⁻¹(m)</p> Signup and view all the answers

    What is the value of θ if the gradient of a line is -0.7?

    <p>145°</p> Signup and view all the answers

    What is the relationship between the gradient of a line and the tangent of its angle of inclination?

    <p>m = tan(θ)</p> Signup and view all the answers

    What is the definition of the inclination of a straight line?

    <p>The angle it makes with the positive x-axis</p> Signup and view all the answers

    What is the relationship between the gradient of a line and the tangent of its angle of inclination?

    <p>m = tan(θ)</p> Signup and view all the answers

    What is the value of θ for a horizontal line?

    <p>0°</p> Signup and view all the answers

    If a line has a gradient of 2, what is the angle of inclination?

    <p>tan^(-1)(2)</p> Signup and view all the answers

    What happens to the angle of inclination when the gradient of a line is negative?

    <p>It becomes obtuse</p> Signup and view all the answers

    How do you adjust the angle of inclination for a line with a negative gradient?

    <p>θ = 180° + tan^(-1)(m)</p> Signup and view all the answers

    What is the angle of inclination for a line with a gradient of -1?

    <p>135°</p> Signup and view all the answers

    What can be said about the gradient of a vertical line?

    <p>It is undefined</p> Signup and view all the answers

    If a line has a gradient of 3, what is the angle of inclination in degrees?

    <p>71.56°</p> Signup and view all the answers

    What is the angle of inclination of a line with a gradient of -2/3?

    <p>133.69°</p> Signup and view all the answers

    A line has an angle of inclination of 120°. What is its gradient?

    <p>−√3</p> Signup and view all the answers

    What is the angle of inclination of a line with a gradient of 1/2?

    <p>26.57°</p> Signup and view all the answers

    If a line has a gradient of -1, what is its angle of inclination in degrees?

    <p>145°</p> Signup and view all the answers

    What is the gradient of a line with an angle of inclination of 150°?

    <p>-1</p> Signup and view all the answers

    A line has a gradient of 4/3. What is its angle of inclination in degrees?

    <p>53.13°</p> Signup and view all the answers

    What is the angle of inclination of a line with a gradient of 3/4?

    <p>36.87°</p> Signup and view all the answers

    If the angle of inclination of a line is 135°, what is its gradient?

    <p>-√3</p> Signup and view all the answers

    A line has a gradient of -2. What is its angle of inclination?

    <p>210°</p> Signup and view all the answers

    What is the gradient of a line with an angle of inclination of 60°?

    <p>√3/2</p> Signup and view all the answers

    If a line has a gradient of 3/4, what is its angle of inclination?

    <p>30°</p> Signup and view all the answers

    What is the angle of inclination of a line with a gradient of -5/3?

    <p>105°</p> Signup and view all the answers

    If the gradient of a line is 2, what is its angle of inclination?

    <p>45°</p> Signup and view all the answers

    A line has an angle of inclination of 90°. What is its gradient?

    <p>undefined</p> Signup and view all the answers

    What is the angle of inclination of a line with a gradient of -3/5?

    <p>105°</p> Signup and view all the answers

    What is the gradient of a line if its angle of inclination is 45°?

    <p>√2</p> Signup and view all the answers

    If a line has a gradient of -3, what is its angle of inclination?

    <p>143°</p> Signup and view all the answers

    What is the angle of inclination of a line if its gradient is √3?

    <p>60°</p> Signup and view all the answers

    If a line has a gradient of 2/3, what is its angle of inclination?

    <p>36°</p> Signup and view all the answers

    What is the gradient of a line if its angle of inclination is 75°?

    <p>3.73</p> Signup and view all the answers

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