Ganesh cycles towards South-West a distance of 8 m. Then he moves towa...
To find the distance from the starting point, we need to analyze the movements of Ganesh step by step.
1. South-West 8 m
- Moving towards South-West means moving in a direction exactly halfway between South and West.
- This means Ganesh is moving 8 m in a direction that is 45 degrees between South and West.
2. East 20 m
- After moving 8 m in the South-West direction, Ganesh now moves 20 m towards the East.
- This means he is moving directly towards the East, which is perpendicular to the previous movement.
3. North-East 8 m
- After moving 20 m towards the East, Ganesh now moves 8 m towards the North-East.
- This means he is moving in a direction exactly halfway between North and East, which is 45 degrees between North and East.
4. West 6 m
- After moving 8 m towards the North-East, Ganesh now moves 6 m towards the West.
- This means he is moving directly towards the West, which is perpendicular to the previous movement.
5. North-East 2 m
- After moving 6 m towards the West, Ganesh now moves 2 m towards the North-East.
- This means he is moving in a direction exactly halfway between North and East, which is 45 degrees between North and East.
6. West 4 m
- After moving 2 m towards the North-East, Ganesh now moves 4 m towards the West.
- This means he is moving directly towards the West, which is perpendicular to the previous movement.
7. South-West 2 m
- After moving 4 m towards the West, Ganesh now moves 2 m towards the South-West.
- This means he is moving in a direction exactly halfway between South and West, which is 45 degrees between South and West.
Now, let's calculate the distance from the starting point using the Pythagorean theorem.
- Total North-South distance covered = 8 m (North-East) - 2 m (South-West) = 6 m North
- Total East-West distance covered = 20 m (East) - 6 m (West) - 4 m (West) = 10 m East
Using the Pythagorean theorem,
Distance^2 = (North-South distance)^2 + (East-West distance)^2
Distance^2 = 6^2 + 10^2
Distance^2 = 36 + 100
Distance^2 = 136
Distance ≈ √136 ≈ 11.66 m
Therefore, Ganesh is approximately 11.66 m away from the starting point.
The closest option to this distance is option B) 10 m.
Ganesh cycles towards South-West a distance of 8 m. Then he moves towa...
Ganesh is 10m. far from the starting point