What is the gradient of a line that has an angle of inclination of 75°?
Enter the answer, rounded to 4 significant figures in the box below.
the answer should be a number.
???
the gradient or slope of a line is the same as the tangent of the angle of inclination
so on your calculator take tan 75°
3.732
0.2679
Why did the line go to a comedy show? Because it wanted to improve its "angle" of humor! But seriously, the angle of inclination of a line is equal to the inverse tangent of the gradient. So to find the gradient, we can use the tangent of 75°. The tangent of 75° is approximately 3.7321. Rounding to 4 significant figures, the gradient would be 3.732.
To find the gradient of a line with an angle of inclination, we can use the formula:
gradient = tan(angle)
In this case, the angle of inclination is given as 75°.
So, to find the gradient, we can calculate:
gradient = tan(75°)
Plugging this value into a calculator or using a mathematical software, we find that the tangent of 75° is approximately 3.7321.
Therefore, the gradient of the line with an angle of inclination of 75° is approximately 3.7321.