If you are at point A and move 3 km north, then 4 km west, what is your final po

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Question: If you are at point A and move 3 km north, then 4 km west, what is your final position relative to point A?

Options:

Correct Answer: 5 km North-West

Solution:

The final position is 5 km in the north-west direction from point A.

If you are at point A and move 3 km north, then 4 km west, what is your final position relative to point A?

If you are at point A and move 3 km north, then 4 km west, what is your final position relative to point A?

Step 1: Start at point A.
Step 2: Move 3 km north from point A. Now you are at a new point, let's call it point B.
Step 3: From point B, move 4 km west. Now you are at a new point, let's call it point C.
Step 4: To find the distance from point A to point C, use the Pythagorean theorem. You have moved 3 km north and 4 km west.
Step 5: The distance from point A to point C is the hypotenuse of a right triangle where one side is 3 km and the other side is 4 km.
Step 6: Calculate the hypotenuse: hypotenuse = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5 km.
Step 7: Determine the direction. You moved north and then west, which means your final position is in the north-west direction from point A.

Vector Addition – Understanding how to combine movements in different directions to find a resultant position.
Pythagorean Theorem – Applying the theorem to calculate the distance between two points in a right triangle formed by the movements.
Direction and Bearings – Identifying the final direction of the resultant position relative to the starting point.