How to Calculate the Angle Between a Line and the Horizontal Axis in Python and C#?

How to calculate the angle between a straight line and the horizontal axis in Python and C#

In computer graphics and geometry, determining the angle between a straight line and a horizontal axis is a common operation. This article will explore different ways of calculating this angle in Python and C#.

Problem Statement

Given two points (P1x, P1y) and (P2x, P2y) representing line segments in the positive quadrant of the coordinate plane, the task is to calculate the angle θ between the line and the horizontal axis passing through P1.

Solution

Step 1: Calculate the difference between points

<code>deltaY = P2y - P1y
deltaX = P2x - P1x</code>

Step 2: Calculate angle (Python)

Use the arctangent function:

<code>angleInDegrees = math.atan(deltaY / deltaX) * 180 / math.pi</code>

Use the atan2 function (recommended for determining the correct quadrant):

<code>angleInDegrees = math.atan2(deltaY, deltaX) * 180 / math.pi</code>

Step 3: Calculate angle (C#)

<code>angleInDegrees = Math.Atan2(deltaY, deltaX) * 180 / Math.PI;</code>

Conclusion

By following these steps, you can efficiently calculate the angle between a straight line and a horizontal axis in Python and C#. Understanding the concepts of vector differences and trigonometric functions is key to accurately solving this problem.

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