A plane flies from base camp to Lake A, 220 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B, which is 150 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp.

I don’t know

24.2

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

Step 1: Draw a diagram
Draw a diagram representing the given information. Start by drawing a line to represent the initial flight from the base camp to Lake A, which is 220 km in the direction 20.0° north of east. Label this line as vector A.

Step 2: Add vector A
Use a protractor and ruler to measure and draw vector A. Start at the base camp, then measure 220 km in the direction 20.0° north of east. Label this line as vector A.

Step 3: Add vector B
Next, draw vector B starting from the end of vector A, Lake A. Vector B is 150 km in the direction 30.0° west of north. Label this line as vector B.

Step 4: Complete the triangle
Now, draw a line connecting the base camp to the end of vector B to complete the triangle. This line represents the distance and direction from Lake B to the base camp. Label this line as vector C.

Step 5: Measure vector C
Use a ruler to measure the length of vector C, which represents the distance from Lake B to the base camp. This will give you the numerical value of the distance.

Step 6: Measure the angle
Use a protractor to measure the angle between vector C and the original flight path (vector A). This angle represents 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.