Read the given information carefully and answer the questions given beside:…
2024
Read the given information carefully and answer the questions given beside:
Lihaan walks 8m towards south from his office to reach park. Then take left and walks 15m to reachtraffic signal. Then he turns 90 degree anti-clock wise direction and walks 8m to reach coffee shop. From the coffee shop he takes left and walks 8m to reach home. Park is in which direction with respect to Lihaan's Home?
- A.
South-West
- B.
South
- C.
North-West
- D.
North
Attempted by 18 students.
Show answer & explanation
Correct answer: A
Key idea: follow the moves step by step and compute the relative positions.
Step 1: From the office walk 8 m south to reach the park. (Place park at coordinates (0,0); office is then at (0,8).)
Step 2: From the park turn left (east) and walk 15 m to reach the traffic signal. (Traffic signal at (15,0).)
Step 3: Turn 90° anticlockwise from east (which faces north) and walk 8 m to reach the coffee shop. (Coffee shop at (15,8).)
Step 4: From the coffee shop take left (west) and walk 8 m to reach home. (Home at (7,8).)
Relative position: The park is at (0,0) and the home is at (7,8). The vector from the home to the park is (−7, −8), meaning the park is 7 m west and 8 m south of the home.
Conclusion: The park is south-west of Lihaan's home.