Which diagram indicates a bearing of S 40° E? On a coordinate plane, vector u goes down and to the right in quadrant 4 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 3 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 2 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 1 and forms angle 40 degrees with the y-axis.

Question

27-06-2024
Mathematics

Answered

Which diagram indicates a bearing of S 40° E? On a coordinate plane, vector u goes down and to the right in quadrant 4 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 3 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 2 and forms angle 40 degrees with the y-axis. On a coordinate plane, vector u goes down and to the right in quadrant 1 and forms angle 40 degrees with the y-axis.

Answer :

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sqdancefan sqdancefan · Answer 1 · 2024-06-27T14:44:26-04:00

Answer:

(a) down and to the right in quadrant 4 and forms angle 40 degrees with the y-axis

Step-by-step explanation:

You want the diagram indicating a bearing of S 40° E.

Bearing

In the notation S 40° E, the S indicates the reference direction is South. On a coordinate plane, that corresponds to the negative y-axis.

The E indicates the direction from South that is measured by the angle. East is counterclockwise from South, so the relevant angle will be to a vector in the 4th quadrant.

The angle 40° indicates how far CCW the vector is from South. In this case, it is measured from the -y axis. The vector forms a 40° angle with the y-axis in the 4th quadrant, choice A.

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Additional comment

Customarily, the reference direction is North or South, and bearings are indicated as East or West from those directions. Occasionally, you will find bearings that use East or West as the reference direction. If the bearing is simply an angle, 140° for example, it is measured CW from North.