School location relative to house: Ram: 10 m South, left (East) 25 m, left (North) 40 m, right (East) 5 m to school. In which direction is the school from his house?

Difficulty: Easy

Correct Answer: North-East

Explanation:


Introduction / Context:
Aggregate components to determine the quadrant of the final point relative to the start.


Given Data / Assumptions:

  • Vertical: −10 + 40 = +30 m North.
  • Horizontal: +25 + 5 = +30 m East.


Concept / Approach:
Final vector (East 30, North 30) ⇒ school lies to the North-East.


Step-by-Step Solution:

(0,0) → (0,−10) → (25,−10) → (25,30) → (30,30).


Verification / Alternative check:
Equal positive components produce a 45° NE direction.


Why Other Options Are Wrong:
East ignores the North component; North ignores the East component; South-West is opposite.


Common Pitfalls:
Mistaking the last right as turning to South.


Final Answer:
North-East

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