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Amit walked 30 metres towards East, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres. In which direction is he now from the starting point?  
  • a)
    North-East
  • b)
    East
  • c)
    South-East
  • d)
    South
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Amit walked 30 metres towards East, took a right turn and walked 40 me...
Solution:

Given, Amit walked 30 metres towards East, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres.

To find: In which direction is he now from the starting point?

Let's assume Amit started from point O.

Amit's movements can be represented as follows:

- Amit walked 30 metres East from O and reached point A.
- Amit took a right turn and walked 40 metres South from A and reached point B.
- Amit took a left turn and walked 30 metres East from B and reached point C.

Now, we need to find the direction of point C from point O.

- Draw a line from point O to point C.
- Divide the angle formed by line OC into two equal parts.
- The direction of point C from point O will be the direction of the line passing through the midpoint of the angle bisector and point O.

Using this method, we can see that the angle formed by line OC is 135 degrees.

Dividing it into two equal parts, we get an angle of 67.5 degrees.

So, the direction of point C from point O is South-East.

Therefore, the correct answer is option (c) South-East.
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Community Answer
Amit walked 30 metres towards East, took a right turn and walked 40 me...
East
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Amit walked 30 metres towards East, took a right turn and walked 40 metres. Then he took a left turn and walked 30 metres. In which direction is he now from the starting point? a)North-Eastb)Eastc)South-Eastd)SouthCorrect answer is option 'C'. Can you explain this answer?
Question Description
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