A man walks 12 km east and then 5 km north. What is his distance from the starti

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Question: A man walks 12 km east and then 5 km north. What is his distance from the starting point?

Options:

Correct Answer: 13 km

Solution:

Using the Pythagorean theorem, the distance is 13 km.

A man walks 12 km east and then 5 km north. What is his distance from the starting point?

A man walks 12 km east and then 5 km north. What is his distance from the starting point?

Step 1: Understand that the man walks 12 km east and then 5 km north. This creates a right triangle.
Step 2: Identify the two sides of the triangle. One side (east) is 12 km and the other side (north) is 5 km.
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 squares of the two sides: 12 km squared is 144, and 5 km squared is 25.
Step 5: Add the two squares together: 144 + 25 = 169.
Step 6: Take the square root of 169 to find the hypotenuse: the square root of 169 is 13.
Step 7: Conclude that the man's distance from the starting point is 13 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.