**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