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A person walks 3 km towards the north and then 4 km towards the east. What is th

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Question: A person walks 3 km towards the north and then 4 km towards the east. What is the straight-line distance from the starting point? (2020)

Options:

  1. 5 km
  2. 6 km
  3. 7 km
  4. 8 km

Correct Answer: 5 km

Exam Year: 2020

Solution: 

Using Pythagoras theorem, distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km.

A person walks 3 km towards the north and then 4 km towards the east. What is th

Practice Questions

Q1
A person walks 3 km towards the north and then 4 km towards the east. What is the straight-line distance from the starting point? (2020)
  1. 5 km
  2. 6 km
  3. 7 km
  4. 8 km

Questions & Step-by-Step Solutions

A person walks 3 km towards the north and then 4 km towards the east. What is the straight-line distance from the starting point? (2020)
  • Step 1: Understand that the person walks 3 km north and then 4 km east.
  • Step 2: Visualize the path as a right triangle where one side is 3 km (north) and the other side is 4 km (east).
  • Step 3: Use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the straight-line distance) is equal to the sum of the squares of the other two sides.
  • Step 4: Write the formula: distance = √(3² + 4²).
  • Step 5: Calculate 3², which is 9.
  • Step 6: Calculate 4², which is 16.
  • Step 7: Add the two results: 9 + 16 = 25.
  • Step 8: Take the square root of 25, which is 5.
  • Step 9: Conclude that the straight-line distance from the starting point is 5 km.
  • Pythagorean Theorem – The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
  • Distance Calculation – Understanding how to calculate the straight-line distance between two points using coordinates or geometric principles.
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