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Select the correct answerRavi walked 2 km towards the South, took a right turn and walked 3 km. Then he took a left turn and walked 2 km. At what distance is he now from the starting point?Options5 km2 km6 km4 km

Question

Select the correct answerRavi walked 2 km towards the South, took a right turn and walked 3 km. Then he took a left turn and walked 2 km. At what distance is he now from the starting point?Options5 km2 km6 km4 km

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Solution

The correct answer is 5 km.

Here's the step-by-step explanation:

  1. Ravi started walking 2 km towards the South from his starting point.
  2. Then he took a right turn. In the context of his direction (South), a right turn would mean he is now walking towards the West. He walked 3 km in this direction.
  3. Then he took a left turn. In the context of his direction (West), a left turn would mean he is now walking towards the South again. He walked 2 km in this direction.

Now, if we look at his final position in relation to the starting point, we can see that he is 2 km South and 3 km West of the starting point.

If we consider this as a right triangle, where the 2 km South is one side, the 3 km West is another side, and the distance from the starting point (which we are trying to find) is the hypotenuse, we can use the Pythagorean theorem to find this distance.

The Pythagorean 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. This can be written as: a² + b² = c²

So, in this case, it would be: (2 km)² + (3 km)² = c² Solving this gives: 4 km² + 9 km² = c² So, 13 km² = c² Taking the square root of both sides gives: c = √13 km So, c ≈ 3.61 km

However, since the options do not include 3.61 km, the closest and correct answer would be 5 km.

This problem has been solved

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