Question

What is the gradient of a line that has an angle of inclination of 50°?

Enter your answer, rounded to 4 significant figures,

Answer 1

Answer on Question#54405 – Math – Analytic Geometry

1.192

Question

What is the gradient of a line that has an angle of inclination of $50{}^{\circ}$?

Enter your answer, rounded to 4 significant figures.

Solution

From definition $k(\text{gradient}) = \frac{\Delta y}{\Delta x}$

From trigonometry $\tan(\theta) = \frac{\Delta y}{\Delta x}$

Therefore, $k = \tan(\theta) = \tan(50{}^{\circ}) \approx 1.192$

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