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

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

Options:

Correct Answer: 5 miles northeast

Solution:

Using the Pythagorean theorem, the distance from A is 5 miles northeast.

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

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

Step 1: Start at point A.
Step 2: Move 3 miles to the east. Now you are at point B, which is 3 miles east of A.
Step 3: From point B, move 4 miles to the north. Now you are at point C, which is 4 miles north of point B.
Step 4: To find the distance from point A to point C, use the Pythagorean theorem. This means you will calculate the square root of (3 miles east)^2 + (4 miles north)^2.
Step 5: Calculate (3^2) + (4^2) = 9 + 16 = 25.
Step 6: Take the square root of 25, which is 5 miles.
Step 7: The final position is 5 miles northeast from point A.

Pythagorean Theorem – A mathematical principle used to calculate the distance between two points in a right triangle, where the distance is the hypotenuse.
Coordinate Geometry – Understanding movement in a two-dimensional space using coordinates, specifically how to calculate final positions based on directional movement.