A plane flies from base camp to Lake A, 260 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.
Distance ? km
Direction ? °
step pls
so, get out your graph paper, plot the vectors and measure the final vector.
To graphically determine the distance and direction from Lake B to the base camp, you can draw a vector diagram using the given information.
Step 1: Draw a vector representing the plane's displacement from the base camp to Lake A. The displacement is given as 260 km at a direction of 20.0° north of east. To do this, draw a line segment starting from the base camp and extend it 260 units in the direction 20.0° north of east.
Step 2: Draw a vector representing the plane's displacement from Lake A to Lake B. The displacement is given as 150 km at a direction of 30.0° west of north. To do this, draw a line segment starting from the end point of the vector representing the displacement from the base camp to Lake A and extend it 150 units in the direction 30.0° west of north. This will give you a second line segment pointing towards Lake B.
Step 3: Draw a vector representing the displacement from Lake B to the base camp. This is the vector you need to find.
Step 4: Connect the starting point of the vector representing the displacement from the base camp to Lake A to the end point of the vector representing the displacement from Lake A to Lake B. This will complete the triangle.
Step 5: Measure the length of the side of the triangle that connects the starting point of the displacement from the base camp to the end point of the displacement from Lake A to Lake B. This length represents the distance from Lake B to the base camp.
Step 6: Measure the angle between the side of the triangle that connects the starting point of the displacement from the base camp to the end point of the displacement from Lake A to Lake B and the line segment representing the displacement from Lake A to Lake B. 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.