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Rohit walked 30m towards East, took a right turn and walked 40m.Then he tooh a left turn and walked 30m.In which direction is he now from the starting point?

Question

Rohit's Walking Directions

Rohit walked 30m towards East, took a right turn and walked 40m. Then he took a left turn and walked 30m.

Question

In which direction is he now from the starting point?

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Solution

Rohit started by walking 30m towards East.

Then he took a right turn. In the context of the direction he was initially going (East), a right turn would lead him to the South. So, he walked 40m towards the South.

Next, he took a left turn. In the context of the direction he was going (South), a left turn would lead him to the East. So, he walked 30m towards the East.

Now, if we look at his overall movement from the starting point, he moved 30m East, then 40m South, then 30m East again. The two Eastward movements add up, so his total displacement is 60m East and 40m South from the starting point.

So, from the starting point, Rohit is in the Southeast direction.

This problem has been solved

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