That just says the angle between the m1 and m2 lines is θ. Whether you consider that as plus or minus depends on which of the two lines you start from. In the present problem you are asked for two lines at angle 45 degrees to a given line, so you want both cases.Kurokari said:Well what about if there is a negative and and a positive?
Say m1 = -1 and m2 = 2
If we followed the formula, I would get a tanθ,
However if I were to swap them, I would instead get a negative tanθ. Or does this matter?
The formula for finding the gradient of slope involving an angle is tan(θ), where θ represents the angle of inclination or slope.
The angle of inclination or slope can be found by taking the inverse tangent of the gradient of slope. This can be written as θ = tan-1(m), where m represents the gradient of slope.
Yes, the gradient of slope can be negative. This means that the slope is decreasing in the direction of the angle of inclination.
Yes, there are two special cases: when the angle of inclination is 0° or 90°. When the angle is 0°, the gradient of slope is 0. When the angle is 90°, the gradient of slope is undefined.
The gradient of slope is commonly used in various fields such as construction, engineering, and geography. It is used to determine the steepness of a slope, which is important for building structures, designing roads and highways, and analyzing landforms.