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° (C)</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 (A)</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) (D)</p> Signup and view all the answers

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

<p>145° (D)</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) (B)</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 (A)</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) (C)</p> Signup and view all the answers

What is the value of θ for a horizontal line?

<p>0° (A)</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) (A)</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 (B)</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) (A)</p> Signup and view all the answers

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

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

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

<p>It is undefined (A)</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° (D)</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° (C)</p> Signup and view all the answers

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

<p>−√3 (C)</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° (A)</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° (D)</p> Signup and view all the answers

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

<p>-1 (A)</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° (D)</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° (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

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

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

<p>undefined (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

<p>3.73 (D)</p> Signup and view all the answers

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