Choose the correct option.X walks 6 km towards east from a point A and from the same point A, Y walks 8 km towards south. How far are the two friends from each other now?Options 14 km 2 km 10 km 5 km
Question
Choose the correct option.X walks 6 km towards east from a point A and from the same point A, Y walks 8 km towards south. How far are the two friends from each other now?Options 14 km 2 km 10 km 5 km
Solution
The two friends are 10 km apart from each other. This is because the distance they walked forms a right-angled triangle (since they walked in perpendicular directions). We can use the Pythagorean theorem to find the distance between them. The 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.
Here, X walked 6 km and Y walked 8 km. So, the square of the distance between them is 6^2 + 8^2 = 36 + 64 = 100. The distance between them is the square root of 100, which is 10. So, the two friends are 10 km apart from each other.
Therefore, the correct option is 10 km.
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