The vector (-1,-4) tells us that the train is moving 1 unit in the negative x-direction while moving 4 units in the negative y-direction.
This vector makes an angle theta with the x-axis.
We can find theta by using the inverse tan function.
tan(theta) = 4/1
theta = inverse tan (4) = 75.96
Note that this is the angle below the x-axis.
The angle in standard position must be measured from the positive x-axis, so we need to add 180 degrees.
Therefore, the direction of the train in standard position is: 75.96 + 180 which equals 255.96 degrees.
