If a man walks 4 km east and then 5 km south. How far is he from the point where he started?

sqrt (25 +16)

To find the distance from the point where the man started, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the man walked 4 km east and 5 km south, forming a right-angled triangle. The distance east and south act as the two sides of the triangle, and the distance from the starting point serves as the hypotenuse.

Using the formula:

Hypotenuse^2 = Side1^2 + Side2^2

We can substitute the values:

Hypotenuse^2 = (4 km)^2 + (5 km)^2

Simplifying this equation gives:

Hypotenuse^2 = 16 km^2 + 25 km^2
Hypotenuse^2 = 41 km^2

To find the value of the hypotenuse, we take the square root of both sides:

Hypotenuse = √(41 km^2)

Calculating this will give us the distance from the starting point:

Hypotenuse ≈ 6.4 km

Therefore, the man is approximately 6.4 km away from the point where he started.