an ant walk 1 meter west and then 3 meters north whats is the ants direction in degrees
Duplicate post; already answered
To determine the ant's direction in degrees, we can use trigonometry.
First, let's visualize the ant's movement. The ant walks 1 meter west and then 3 meters north. If we draw these movements on a coordinate plane, the ant would end up at the point (-1, 3).
To find the angle, we need to calculate the angle between the positive x-axis and the line connecting the origin (0,0) and the current position of the ant (-1, 3). We can use the arctangent function (atan) to find this angle.
The formula to calculate the angle is: angle = atan(y/x), where y represents the change in the y-coordinate (3) and x represents the change in the x-coordinate (-1).
angle = atan(3/(-1))
Using a scientific calculator or a programming language with a built-in trigonometric function, we can find the angle:
angle ≈ -71.57 degrees
Therefore, the ant's direction in degrees is approximately -71.57 degrees. Note that negative angles indicate directions counter-clockwise from the positive x-axis.