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A man starting at a point walks one km east, then two km north, then one km east, then one km north, then one km east and then one km north to arrive at the destination. What is the shortest distance from the starting point to the destination?
  • a)
    2√2km
  • b)
    7 km
  • c)
    3√2 km
  • d)
    5 km
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man starting at a point walks one km east, then two km north, then ...
Hence, the shortest distance is 5 km
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Community Answer
A man starting at a point walks one km east, then two km north, then ...
Given Information:
A man starts at a point and walks the following distances:
- 1 km east
- 2 km north
- 1 km east
- 1 km north
- 1 km east
- 1 km north

To Find:
The shortest distance from the starting point to the destination.

Solution:
We can solve this problem by visualizing the movement of the man on a coordinate plane.

Step 1: Drawing the Coordinate Plane
Let's draw a coordinate plane with the starting point as the origin (0,0). We will label the x-axis as east-west and the y-axis as north-south.

Step 2: Plotting the Points
The man walks the following distances:
- 1 km east (1,0)
- 2 km north (1,2)
- 1 km east (2,2)
- 1 km north (2,3)
- 1 km east (3,3)
- 1 km north (3,4)

Step 3: Finding the Distance
To find the shortest distance from the starting point to the destination, we need to find the distance between the starting point (0,0) and the final point (3,4).

We can use the distance formula to calculate the distance:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates (0,0) and (3,4) in the distance formula:
Distance = √((3 - 0)^2 + (4 - 0)^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5

Therefore, the shortest distance from the starting point to the destination is 5 km.

Answer:
The correct answer is option D) 5 km.
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