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Ravi walks 3m towards the east, then turns to his right and walks 4m and then turns to his left and walks 2m. Again turning to his left he walks 4m. In which direction is he now from his initial point and what is the shortest distance from his starting point to his final point?
  • a)
    3m, North
  • b)
    5m, East
  • c)
    2m, South
  • d)
    5m, West
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ravi walks 3m towards the east, then turns to his right and walks 4m ...
From the information given in the question,
After observing the above figure the distance between starting and endpoint is 5m and he is in the east direction with respect to his initial point.
Hence, the correct option is (B).
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Most Upvoted Answer
Ravi walks 3m towards the east, then turns to his right and walks 4m ...


Analysis:
Ravi's movements can be broken down into the following steps:

1. Ravi walks 3m towards the east.
2. Ravi turns right and walks 4m.
3. Ravi turns left and walks 2m.
4. Ravi turns left again and walks 4m.

Direction from Initial Point:
Ravi's final direction can be determined by adding up the distances he walked in each direction. He walked 3m east and 4m south (2m south and 4m north cancel each other out), which means he is 1m east from his initial point.

Shortest Distance from Initial to Final Point:
To find the shortest distance from Ravi's initial point to his final point, we can draw a diagram of his movements. We can see that this forms a right-angled triangle with sides of 1m and 4m. Using the Pythagorean theorem (a^2 + b^2 = c^2), we can calculate the hypotenuse (shortest distance) as follows:

1^2 + 4^2 = c^2
1 + 16 = c^2
17 = c^2
c = √17 ≈ 4.12m

Therefore, the shortest distance from Ravi's initial point to his final point is approximately 4.12m, which is towards the east.

Therefore, the correct answer is option 5m, East.
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Ravi walks 3m towards the east, then turns to his right and walks 4m and then turns to his left and walks 2m. Again turning to his left he walks 4m. In which direction is he now from his initial point and what is the shortest distance from his starting point to his final point?a)3m, Northb)5m, Eastc)2m, Southd)5m, WestCorrect answer is option 'B'. Can you explain this answer?
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