32 Hi guys! Determining azimuth using a compass. 1. The first end of the match placed on the compass indicates

Золотой_Горизонт_1280

2

A? Let"s solve each task step by step to make it clear for the student.

1. To determine the azimuth using a compass, we need to understand that the azimuth measures the direction of an object in degrees clockwise from the north direction.

In this task, the first end of the match placed on the compass indicates an azimuth of 90°. This means that the match points towards the east direction because in the compass rose, east is located at 90°.

To determine the azimuth and horizon direction indicated by the second end of the match, we need to consider that the compass needle always points to the magnetic north, which is not exactly aligned with the geographic north. The difference between magnetic north and geographic north is called magnetic declination.

Since the first end of the match points to the east (azimuth 90°), we can conclude that the second end of the match, which is opposite to the first end, will indicate an azimuth of 270°. This is because on a compass, the needle rotates in a clockwise direction.

As for the horizon direction indicated by the second end, it points towards the west. This is because an object pointing towards 270° on a compass indicates the west direction, which is situated 180° from the north.

2. In this task, we have a student moving from point A to point B, then to point C, and finally to point D. Each movement is associated with a specific azimuth and distance.

The student starts from point A and follows an azimuth of 360°, which corresponds to the north direction. After reaching point B, the student proceeds to point C by going an additional 100 meters following an azimuth of 90°, which corresponds to the east direction.

From point C, the student goes another 100 meters following an azimuth of 180°, which corresponds to the south direction. This leads the student to point D.

To find out how many meters and along which azimuth the student needs to go to return to point A, we need to calculate the direction and distance from point D to point A.

Since the azimuth and distance from point D to point A will be the same as the azimuth and distance from point A to point D (but in the opposite direction), we can simply reverse the azimuth and distance values.

Therefore, the student needs to travel 100 meters in the opposite direction to the south (azimuth 180°) from point D to reach point C. After that, the student should go 100 meters following an azimuth of 270°, which corresponds to the west direction, to reach point B.

Finally, the student needs to go from point B to point A, covering the same distance of 100 meters but in the opposite direction to the east (azimuth 90°).

In summary, the student needs to travel 100 meters along an azimuth of 180°, then 100 meters along an azimuth of 270°, and finally 100 meters along an azimuth of 90° in order to return to point A.