Shyam goes 5 km in the North from his school. Now, turning to the left, he…
2025
Shyam goes 5 km in the North from his school. Now, turning to the left, he goes to 10 km, and again turns to left and goes to 5 km. How far he is from his school and in which direction?
Answer: C. 10 km. West from school — To determine Shyam's final distance and direction from his school, we can map out his movements step-by-step. Step-by-Step Movement Analysis Start at School:…
- A.
10 km. South from school
- B.
10 km. North from school
- C.
10 km. West from school
- D.
10 km. East from school
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Show answer & explanation
Correct answer: C
To determine Shyam's final distance and direction from his school, we can map out his movements step-by-step.
Step-by-Step Movement Analysis
Start at School: Let the school be at the origin point (0, 0) on a coordinate plane.
Move North: Shyam travels 5 km North.
New position: (0, 5)
Turn Left and Move: Turning left from North means he is now facing West. He travels 10 km West.
New position: (-10, 5)
Turn Left and Move: Turning left from West means he is now facing South. He travels 5 km South.
New position: (-10, 5 - 5) = (-10, 0)
Final Calculation
Distance: Since Shyam is at position (-10, 0) and the school is at (0, 0), the straight-line distance is 10 km.
Direction: The position (-10, 0) is directly to the West of the starting point (0, 0).