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.

Examples of Standard Position

  • The figure below shows a positive angle.

  • The figure below shows a negative angle.

Solved Example on Standard Position

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.

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°.

  

Related Terms for Standard Position

  • Angle
  • x-axis
  • Vertex
  • Origin