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Sudha travels 8 km to the South. Then turns to the right and walks 4 km. Then again, she turns to her right and moves 8 km forward. How many km away is the starting point?
- a)7
- b)6
- c)4
- d)8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Sudha travels 8 km to the South. Then turns to the right and walks 4 ...
As we can see described in the diagram below, Sudha is 4 km. away from the starting point. (Where O is the starting point)
Hence, the correct option is (C)
This question is part of UPSC exam. View all SSC courses
Most Upvoted Answer
Sudha travels 8 km to the South. Then turns to the right and walks 4 ...
To find the distance of the starting point from Sudha's final position, we need to consider her movements and calculate the overall displacement.
Initial Position: Sudha starts at a point.
First Movement: Sudha travels 8 km to the South. This means she moves in a straight line downwards.
Second Movement: Sudha turns to the right and walks 4 km. This means she moves in a straight line towards the East.
Third Movement: Sudha turns to her right again and moves 8 km forward. This means she moves in a straight line upwards.
Calculating the Displacement:
To calculate the displacement, we need to find the net distance and direction of Sudha's movements.
North-South Displacement: Sudha initially travels 8 km South and then 8 km North. The net displacement in the North-South direction is 8 km - 8 km = 0 km.
East-West Displacement: Sudha initially travels 0 km East and then 4 km East. The net displacement in the East-West direction is 0 km + 4 km = 4 km.
Hence, the overall displacement is 0 km in the North-South direction and 4 km in the East-West direction.
Calculating the Distance from the Starting Point:
The distance from the starting point can be found using the Pythagorean theorem, as the displacement forms a right triangle.
Using the Pythagorean theorem, we have:
Distance^2 = (North-South Displacement)^2 + (East-West Displacement)^2
Distance^2 = 0^2 + 4^2
Distance^2 = 16
Distance = √16
Distance = 4 km
Therefore, the distance of the starting point from Sudha's final position is 4 km.
Initial Position: Sudha starts at a point.
First Movement: Sudha travels 8 km to the South. This means she moves in a straight line downwards.
Second Movement: Sudha turns to the right and walks 4 km. This means she moves in a straight line towards the East.
Third Movement: Sudha turns to her right again and moves 8 km forward. This means she moves in a straight line upwards.
Calculating the Displacement:
To calculate the displacement, we need to find the net distance and direction of Sudha's movements.
North-South Displacement: Sudha initially travels 8 km South and then 8 km North. The net displacement in the North-South direction is 8 km - 8 km = 0 km.
East-West Displacement: Sudha initially travels 0 km East and then 4 km East. The net displacement in the East-West direction is 0 km + 4 km = 4 km.
Hence, the overall displacement is 0 km in the North-South direction and 4 km in the East-West direction.
Calculating the Distance from the Starting Point:
The distance from the starting point can be found using the Pythagorean theorem, as the displacement forms a right triangle.
Using the Pythagorean theorem, we have:
Distance^2 = (North-South Displacement)^2 + (East-West Displacement)^2
Distance^2 = 0^2 + 4^2
Distance^2 = 16
Distance = √16
Distance = 4 km
Therefore, the distance of the starting point from Sudha's final position is 4 km.
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Sudha travels 8 km to the South. Then turns to the right and walks 4 km. Then again, she turns to her right and moves 8 km forward. How many km away is the starting point?a)7b)6c)4d)8Correct answer is option 'C'. Can you explain this answer?
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