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.