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?Options2 km6 km4 km5 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?Options2 km6 km4 km5 km
Solution
The answer is 5 km. Here's the step by step explanation:
- Ravi started walking 2 km towards the South from his starting point.
- Then he took a right turn. In the context of Ravi's direction, a right turn would mean he is now walking towards the West. He walked 3 km in this direction.
- Then he took a left turn. In the context of Ravi's direction (which was West), a left turn would mean he is now walking towards the South. He walked 2 km in this direction.
Now, if we look at Ravi's final position in relation to his starting point, we can see that he is 2 km South and 3 km West of his starting point.
To find the total distance from his starting point, we can use the Pythagorean theorem (since the path Ravi took forms a right triangle). The Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, the distance is √((2 km)^2 + (3 km)^2) = √(4 + 9) = √13 ≈ 3.61 km.
However, this is not an option in the given choices. The question asks for the total distance Ravi walked, not the straight-line distance from his starting point.
So, the total distance Ravi walked is 2 km (South) + 3 km (West) + 2 km (South) = 7 km.
But this is also not an option in the given choices.
There seems to be a mistake in the question or the options provided. None of the options match the calculated distances.
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