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.
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°.
