A plane flies from base camp to lake A, a distance of 280 kilometer at a direction of 20 degree north of east .After dropping off supplies it flies to lake B, which is 190 kilometer and 30 degree west of north from lake A. Graphically determine the distance and direction from lake B to the base camp.

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To graphically determine the distance and direction from lake B to the base camp, you can use vector addition. Here's how you can do it step by step:

1. Draw a coordinate system on a piece of paper, with the base camp as the origin (0,0).

2. Draw a vector representing the distance and direction flown by the plane from the base camp to lake A. It has a magnitude of 280 km and is directed 20 degrees north of east. To do this, draw a line segment 280 units long at an angle of 20 degrees above the x-axis.

3. From the endpoint of the vector representing the base camp to lake A, draw a vector representing the distance and direction flown by the plane from lake A to lake B. It has a magnitude of 190 km and is directed 30 degrees west of north. To do this, draw a line segment 190 units long at an angle of 30 degrees above the y-axis.

4. Connect the endpoint of the vector representing the base camp with the endpoint of the vector representing the distance from lake A to lake B. This line segment represents the distance and direction from lake B to the base camp.

5. Measure the length of the line segment connecting the endpoint of the vector representing the base camp with the endpoint of the vector representing the distance from lake A to lake B. This will give you the magnitude of the distance from lake B to the base camp.

6. Measure the angle between the line segment connecting the endpoint of the vector representing the base camp with the endpoint of the vector representing the distance from lake A to lake B and the x-axis. This will give you the direction from lake B to the base camp.

By following these steps, you can graphically determine the distance and direction from lake B to the base camp.

so, plot the courses, and measure the distance AB and the angle.

where do you get stuck?