Gr 11 Math Ch 4: Inclination of a Line
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Gr 11 Math Ch 4: Inclination of a Line

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@GreatestTiger

Questions and Answers

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

The angle of inclination

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

m = tan(θ)

What is the gradient of a vertical line?

Undefined

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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