Standard Position

Definition of Standard Position

Angle in standard position is an angle drawn on the x-y plane with its vertex at the origin and its initial side along the positive x-axis.

More About Standard Position

  • If the terminal side of an angle in standard position turns counterclockwise, then the angle is positive.
  • If the terminal side of an angle in standard position turns clockwise, then the angle is negative.

Video Examples:Angles in Standard Position


Example of Standard Position

    The figure below shows a positive angle.
       example of   Standard Position
    The figure below shows a negative angle.
       example of   Standard Position

Solved Example on Standard Position

Ques: A lighthouse makes an angle of 130� from ship due north as shown in the figure. Find the location of the lighthouse in terms of an angle in standard position.

    example of   Standard Position
    Choices:
    A. 230�
    B. 320�
    C. 310�
    D. 130�
    Correct Answer: B

Solution:

    Step 1: The location of the lighthouse in terms of an angle in standard position is 360� - 40� = 320�.

Translate :