A man walks 4 km south, then 3 km east. What is his distance from the starting p

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Question: A man walks 4 km south, then 3 km east. What is his distance from the starting point?

Options:

Correct Answer: 5 km

Solution:

The distance is 5 km, calculated using the Pythagorean theorem.

A man walks 4 km south, then 3 km east. What is his distance from the starting point?

A man walks 4 km south, then 3 km east. What is his distance from the starting point?

Step 1: Understand the man's movement. He walks 4 km south and then 3 km east.
Step 2: Visualize the path. Imagine a right triangle where one side is 4 km (south) and the other side is 3 km (east).
Step 3: Use the Pythagorean theorem to find the distance from the starting point. The theorem states that in a right triangle, the square of the hypotenuse (the distance we want) is equal to the sum of the squares of the other two sides.
Step 4: Calculate the squares of the two sides: 4 km squared is 16, and 3 km squared is 9.
Step 5: Add the two squares together: 16 + 9 = 25.
Step 6: Take the square root of 25 to find the hypotenuse: the square root of 25 is 5.
Step 7: Conclude that the man's distance from the starting point is 5 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.