Question

Ram goes \(10\) m South from his house, turns left and goes \(25\) m, again turns left and goes \(40\) m, then turns right and goes \(5\) m to reach school. In which direction is the school from his house?

• A. North-East
• B. East
• C. West
• D. South

Hint:

In direction questions, find net vertical and horizontal displacement from the starting point.

Answer 1

The Correct Option is A

Concept:
We track movement using directions. Let Ram's house be the starting point \(O\).

Step 1: First movement. Ram goes \(10\) m South. So his position is: \[ 10\text{ m South of }O \]

Step 2: Second movement. He is facing South. When facing South, left side is East. So he walks \(25\) m East.

Step 3: Third movement. Now he is facing East. His left side is North. So he walks \(40\) m North. Net North-South displacement: \[ 40-10=30\text{ m North} \] East-West displacement: \[ 25\text{ m East} \]

Step 4: Fourth movement. Now he is facing North. His right side is East. So he walks \(5\) m East. Total East displacement: \[ 25+5=30\text{ m East} \]

Step 5: Final direction. Ram is now: \[ 30\text{ m North} \] and \[ 30\text{ m East} \] from his house. So the school is in the \[ \text{North-East} \] direction.

Step 6: Final answer. \[ \boxed{\text{North-East}} \]