Question

The velocity of a train, measured in meters per second, is described by vector t=(-1,-4). Find the direction the train is traveling using standard position

Answer 1

inverse tangent 4/1

75.96 + 180 bc 3rd quadrant which equals 255.96 degrees.

Explanation:

round 256 degrees

Answer 2

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.