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

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

Options:

Correct Answer: 5 miles north-east

Solution:

Your final position is 5 miles north-east from point B, calculated using the Pythagorean theorem.

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

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

Step 1: Start at point B.
Step 2: Move 3 miles to the east. Now you are 3 miles east of point B.
Step 3: From your new position, move 4 miles to the north. Now you are 4 miles north of your last position.
Step 4: You have moved 3 miles east and 4 miles north. To find the straight-line distance from point B to your final position, use the Pythagorean theorem.
Step 5: The Pythagorean theorem states that the square of the hypotenuse (the straight-line distance) is equal to the sum of the squares of the other two sides. Here, the two sides are 3 miles and 4 miles.
Step 6: Calculate: (3 miles)² + (4 miles)² = 9 + 16 = 25.
Step 7: Take the square root of 25 to find the hypotenuse: √25 = 5 miles.
Step 8: Your final position is 5 miles northeast from point B.

Pythagorean Theorem – A mathematical principle used to calculate the length of the sides of a right triangle, stating that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Coordinate Movement – Understanding how to navigate in a two-dimensional space by moving along the x (east-west) and y (north-south) axes.