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Raveena walks 10 Km from her house, turns left and walks 25 Km, again turns left and walks 40 Km, then turns right and walks 5 Km to reach her office. In which direction was the office from her house?
- a)Southwest
- b)Northeast
- c)East
- d)North
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Raveena walks 10 Km from her house, turns left and walks 25 Km, again ...
The journey would be as per the figure. Her office would be northeast from her house.
Most Upvoted Answer
Raveena walks 10 Km from her house, turns left and walks 25 Km, again ...
Explanation:
Raveena walks in a specific direction for a certain distance and then changes direction multiple times before reaching her office. To determine the direction of the office from her house, we need to analyze the distances and directions she traveled.
Step 1: Distance and direction of the first walk
Raveena walks 10 km from her house. Since no direction is specified, we can assume she walks in a straight line. We can represent this as follows:
- Distance: 10 km
- Direction: Straight
Step 2: Distance and direction of the second walk
After walking 10 km, Raveena turns left and walks 25 km. This means she is changing her direction by 90 degrees counterclockwise. We can represent this as follows:
- Distance: 25 km
- Direction: Left (90 degrees counterclockwise)
Step 3: Distance and direction of the third walk
After walking 25 km, Raveena turns left again and walks 40 km. This means she is changing her direction by 90 degrees counterclockwise once more. We can represent this as follows:
- Distance: 40 km
- Direction: Left (90 degrees counterclockwise)
Step 4: Distance and direction of the final walk
After walking 40 km, Raveena turns right and walks 5 km. This means she is changing her direction by 90 degrees clockwise. We can represent this as follows:
- Distance: 5 km
- Direction: Right (90 degrees clockwise)
Step 5: Determining the final direction
To determine the final direction of the office from Raveena's house, we need to sum up the changes in direction. Raveena turned left twice (for a total of 180 degrees counterclockwise) and then turned right (for 90 degrees clockwise). Therefore, she made a net turn of 90 degrees counterclockwise.
Since Raveena initially walked straight from her house, the office must be in the direction she turned. The direction she turned is 90 degrees counterclockwise, which corresponds to the northeast direction.
Therefore, the correct answer is option B) Northeast.
Raveena walks in a specific direction for a certain distance and then changes direction multiple times before reaching her office. To determine the direction of the office from her house, we need to analyze the distances and directions she traveled.
Step 1: Distance and direction of the first walk
Raveena walks 10 km from her house. Since no direction is specified, we can assume she walks in a straight line. We can represent this as follows:
- Distance: 10 km
- Direction: Straight
Step 2: Distance and direction of the second walk
After walking 10 km, Raveena turns left and walks 25 km. This means she is changing her direction by 90 degrees counterclockwise. We can represent this as follows:
- Distance: 25 km
- Direction: Left (90 degrees counterclockwise)
Step 3: Distance and direction of the third walk
After walking 25 km, Raveena turns left again and walks 40 km. This means she is changing her direction by 90 degrees counterclockwise once more. We can represent this as follows:
- Distance: 40 km
- Direction: Left (90 degrees counterclockwise)
Step 4: Distance and direction of the final walk
After walking 40 km, Raveena turns right and walks 5 km. This means she is changing her direction by 90 degrees clockwise. We can represent this as follows:
- Distance: 5 km
- Direction: Right (90 degrees clockwise)
Step 5: Determining the final direction
To determine the final direction of the office from Raveena's house, we need to sum up the changes in direction. Raveena turned left twice (for a total of 180 degrees counterclockwise) and then turned right (for 90 degrees clockwise). Therefore, she made a net turn of 90 degrees counterclockwise.
Since Raveena initially walked straight from her house, the office must be in the direction she turned. The direction she turned is 90 degrees counterclockwise, which corresponds to the northeast direction.
Therefore, the correct answer is option B) Northeast.
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Raveena walks 10 Km from her house, turns left and walks 25 Km, again turns left and walks 40 Km, then turns right and walks 5 Km to reach her office. In which direction was the office from her house?a)Southwestb)Northeastc)Eastd)NorthCorrect answer is option 'B'. Can you explain this answer?
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