If you are at point A and move 3 miles north, then 4 miles east, what is your fi

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

Options:

Correct Answer: 5 miles north-east

Solution:

Using the Pythagorean theorem, the distance from A is 5 miles in the north-east direction.

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

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

Step 1: Start at point A.
Step 2: Move 3 miles north from point A. Now you are at point B.
Step 3: From point B, move 4 miles east. Now you are at point C.
Step 4: You have moved 3 miles north and 4 miles east, which forms a right triangle.
Step 5: To find the distance from point A to point C, use the Pythagorean theorem: a^2 + b^2 = c^2.
Step 6: Here, a is 3 miles (north), and b is 4 miles (east). So, calculate: 3^2 + 4^2 = 9 + 16 = 25.
Step 7: Now, take the square root of 25 to find c: √25 = 5 miles.
Step 8: The final position is 5 miles away from point A in the north-east direction.

Pythagorean Theorem – This theorem is used to calculate the distance between two points in a right triangle, where the legs represent the distances moved in the north and east directions.
Vector Addition – Understanding how to combine movements in different directions to find a resultant position.