A man travels 10 kms towards north-east and then travels 8 kms towards south. How far is he from his starting point?Options 12 kms 18 kms 2 kms 6 kms

The man's journey can be represented as two sides of a right triangle. The first side is 10 km towards the north-east and the second side is 8 km towards the south.

We can use the Pythagorean theorem to find the distance from his starting point. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the distance we want to find. Let's denote it as 'd'. The lengths of the other two sides are 10 km and 8 km.

According to the Pythagorean theorem:

d^2 = 10^2 + 8^2 d^2 = 100 + 64 d^2 = 164

To find 'd', we take the square root of 164:

d = sqrt(164) ≈ 12.81 km

So, the man is approximately 12.81 km from his starting point.

However, this is not an option in the given choices. The closest option is 12 km, but this is not the exact answer. The problem may have a mistake or may be oversimplified.