A person walks 3 km north, then 4 km east. How far is he from the starting point

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Question: A person walks 3 km north, then 4 km east. How far is he from the starting point?

Options:

Correct Answer: 5 km

Solution:

Using the Pythagorean theorem, the distance is √(3² + 4²) = 5 km.

A person walks 3 km north, then 4 km east. How far is he from the starting point?

A person walks 3 km north, then 4 km east. How far is he from the starting point?

Step 1: Understand that the person walks 3 km north and then 4 km east.
Step 2: Visualize the path as a right triangle where one side is 3 km (north) and the other side is 4 km (east).
Step 3: 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 4: Calculate the square of the north distance: 3² = 9.
Step 5: Calculate the square of the east distance: 4² = 16.
Step 6: Add the two squares together: 9 + 16 = 25.
Step 7: Take the square root of the sum to find the distance: √25 = 5 km.

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.
Distance Calculation – Understanding how to calculate the straight-line distance between two points in a coordinate system.