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Dinesh walks 10m in front and 10m to theright then turning to his left three times hewalks 5m, 15m, 15 m respectively. How faris he from his starting position?
- a)5 m
- b)10 m
- c)15 m
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Dinesh walks 10m in front and 10m to theright then turning to his left...
Dinesh starts from A his final position is at F.
AF = DE – GD = 15 – 10 = 5 m
Most Upvoted Answer
Dinesh walks 10m in front and 10m to theright then turning to his left...
Steps to solve the problem:
1. Initial Movement:
Dinesh walks 10m in front and 10m to the right. This forms a right-angled triangle with sides 10m and 10m.
Using Pythagoras theorem, we can find the hypotenuse:
Hypotenuse = sqrt((10)^2 + (10)^2) = sqrt(100 + 100) = sqrt(200) ≈ 14.14m
2. Turning left:
Dinesh turns left three times and walks 5m, 15m, and 15m respectively.
The total distance moved to the left = 5m + 15m + 15m = 35m
3. Final Position:
Dinesh's final position forms a right-angled triangle with sides 14.14m and 35m.
Using Pythagoras theorem, we can find the distance from the starting position:
Distance = sqrt((14.14)^2 + (35)^2) = sqrt(199.64 + 1225) = sqrt(1424.64) ≈ 37.75m
Therefore, Dinesh is approximately 5m away from his starting position. So, the correct answer is option A) 5m.
1. Initial Movement:
Dinesh walks 10m in front and 10m to the right. This forms a right-angled triangle with sides 10m and 10m.
Using Pythagoras theorem, we can find the hypotenuse:
Hypotenuse = sqrt((10)^2 + (10)^2) = sqrt(100 + 100) = sqrt(200) ≈ 14.14m
2. Turning left:
Dinesh turns left three times and walks 5m, 15m, and 15m respectively.
The total distance moved to the left = 5m + 15m + 15m = 35m
3. Final Position:
Dinesh's final position forms a right-angled triangle with sides 14.14m and 35m.
Using Pythagoras theorem, we can find the distance from the starting position:
Distance = sqrt((14.14)^2 + (35)^2) = sqrt(199.64 + 1225) = sqrt(1424.64) ≈ 37.75m
Therefore, Dinesh is approximately 5m away from his starting position. So, the correct answer is option A) 5m.
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Dinesh walks 10m in front and 10m to theright then turning to his left three times hewalks 5m, 15m, 15 m respectively. How faris he from his starting position?a)5 mb)10 mc)15 md)None of theseCorrect answer is option 'A'. Can you explain this answer?
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