If you move 3 miles north and then 4 miles east, how far are you from your start

₹0.0

Question: If you move 3 miles north and then 4 miles east, how far are you from your starting point?

Options:

Correct Answer: 5 miles

Solution:

Using the Pythagorean theorem, the distance is √(3^2 + 4^2) = 5 miles.

If you move 3 miles north and then 4 miles east, how far are you from your starting point?

If you move 3 miles north and then 4 miles east, how far are you from your starting point?

Step 1: Start at your starting point. Imagine this point as the origin (0, 0) on a graph.
Step 2: Move 3 miles north. This means you go up on the graph. Your new position is (0, 3).
Step 3: From (0, 3), move 4 miles east. This means you go to the right on the graph. Your new position is (4, 3).
Step 4: To find out how far you are from the starting point (0, 0) to (4, 3), use the Pythagorean theorem.
Step 5: The formula is distance = √(change in x² + change in y²). Here, change in x is 4 and change in y is 3.
Step 6: Calculate the squares: 4² = 16 and 3² = 9.
Step 7: Add the squares together: 16 + 9 = 25.
Step 8: Take the square root of 25: √25 = 5.
Step 9: Therefore, you are 5 miles away from your starting point.

Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Distance Calculation – Understanding how to calculate the straight-line distance between two points using coordinates.