If you walk 6 km east and then 8 km north, what is your distance from the starti

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Question: If you walk 6 km east and then 8 km north, what is your distance from the starting point?

Options:

Correct Answer: 10 km

Solution:

Using the Pythagorean theorem, the distance is √(6^2 + 8^2) = 10 km.

If you walk 6 km east and then 8 km north, what is your distance from the starting point?

If you walk 6 km east and then 8 km north, what is your distance from the starting point?

Step 1: Understand that you are walking in two directions: east and north.
Step 2: Note the distances you walked: 6 km east and 8 km north.
Step 3: Visualize or draw a right triangle where one side is 6 km (east) and the other side is 8 km (north).
Step 4: Use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the distance from the starting point) is equal to the sum of the squares of the other two sides.
Step 5: Calculate the squares of the distances: 6^2 = 36 and 8^2 = 64.
Step 6: Add these two results together: 36 + 64 = 100.
Step 7: Take the square root of the sum to find the distance: √100 = 10 km.

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.