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Sahil goes 5 km towards North from a fixed point. Then he goes 3 km after turning to his right. After this he goes 5 km turning to his right. In the end he goes 4 km after turning to his left. How far and in what direction is he now from the fixed point?
- a)4 km, West
- b)7 km, East
- c)9 km, East
- d)7 km, West
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Sahil goes 5 km towards North from a fixed point. Then he goes 3 km af...
Problem: Sahil goes 5 km towards North from a fixed point. Then he goes 3 km after turning to his right. After this, he goes 5 km turning to his right. In the end, he goes 4 km after turning to his left. How far and in what direction is he now from the fixed point?
Solution:
Let us assume that Sahil starts from point A, which is the fixed point.
1. First move: Sahil goes 5 km towards North from point A.
2. Second move: Sahil goes 3 km after turning to his right, which means he is moving towards the East from his current location, which is point B.
3. Third move: Sahil goes 5 km turning to his right, which means he is moving towards the South from his current location, which is point C.
4. Fourth move: Sahil goes 4 km after turning to his left, which means he is moving towards the East from his current location, which is point D.
Now, we need to find the distance and direction of Sahil's current location from the fixed point A.
Let us draw a diagram for a better understanding:
```
C
|
D------B
| |
A------
```
From the diagram, we can see that Sahil is 3 km towards the East from point C, which means his current location is point E.
Now, we need to find the distance and direction of point E from point A.
Distance:
To find the distance, we can use Pythagoras theorem.
AE² = AC² + CE²
AE² = 5² + 3²
AE² = 34
AE = √34
AE ≈ 5.83 km
Direction:
Sahil is towards the East from point A. Hence, the direction of point E from point A is also towards the East.
Therefore, the correct option is (b) 7 km, East.
Solution:
Let us assume that Sahil starts from point A, which is the fixed point.
1. First move: Sahil goes 5 km towards North from point A.
2. Second move: Sahil goes 3 km after turning to his right, which means he is moving towards the East from his current location, which is point B.
3. Third move: Sahil goes 5 km turning to his right, which means he is moving towards the South from his current location, which is point C.
4. Fourth move: Sahil goes 4 km after turning to his left, which means he is moving towards the East from his current location, which is point D.
Now, we need to find the distance and direction of Sahil's current location from the fixed point A.
Let us draw a diagram for a better understanding:
```
C
|
D------B
| |
A------
```
From the diagram, we can see that Sahil is 3 km towards the East from point C, which means his current location is point E.
Now, we need to find the distance and direction of point E from point A.
Distance:
To find the distance, we can use Pythagoras theorem.
AE² = AC² + CE²
AE² = 5² + 3²
AE² = 34
AE = √34
AE ≈ 5.83 km
Direction:
Sahil is towards the East from point A. Hence, the direction of point E from point A is also towards the East.
Therefore, the correct option is (b) 7 km, East.
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Community Answer
Sahil goes 5 km towards North from a fixed point. Then he goes 3 km af...
Explanation:
Let's break down Sahil's movements step by step:
1. 5 km North: Sahil starts at a fixed point and goes 5 km towards the North.
2. 3 km East: Sahil turns to his right (which would be East) and goes 3 km.
3. 5 km South: Sahil turns to his right again (which would now be South) and goes 5 km.
4. 4 km West: Sahil turns to his left (which would be West) and goes 4 km.
Now, let's analyze his final position:
- Horizontal position: Sahil moved 3 km to the East and then 4 km to the West. So his net horizontal displacement is 3 - 4 = -1 km (1 km to the West).
- Vertical position: Sahil moved 5 km to the North and then 5 km to the South. So his net vertical displacement is 5 - 5 = 0 km.
Final position: Sahil is 1 km to the West of the starting point. Therefore, the answer is 1 km, West. However, this option is not available in the given choices, so the correct answer is E: None of these.
Let's break down Sahil's movements step by step:
1. 5 km North: Sahil starts at a fixed point and goes 5 km towards the North.
2. 3 km East: Sahil turns to his right (which would be East) and goes 3 km.
3. 5 km South: Sahil turns to his right again (which would now be South) and goes 5 km.
4. 4 km West: Sahil turns to his left (which would be West) and goes 4 km.
Now, let's analyze his final position:
- Horizontal position: Sahil moved 3 km to the East and then 4 km to the West. So his net horizontal displacement is 3 - 4 = -1 km (1 km to the West).
- Vertical position: Sahil moved 5 km to the North and then 5 km to the South. So his net vertical displacement is 5 - 5 = 0 km.
Final position: Sahil is 1 km to the West of the starting point. Therefore, the answer is 1 km, West. However, this option is not available in the given choices, so the correct answer is E: None of these.
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Sahil goes 5 km towards North from a fixed point. Then he goes 3 km after turning to his right. After this he goes 5 km turning to his right. In the end he goes 4 km after turning to his left. How far and in what direction is he now from the fixed point?a)4 km, Westb)7 km, Eastc)9 km, Eastd)7 km, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer?
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