Examkin

Soru

Zorluk: OrtaDirection and Distance Test

Four delivery vans depart from a central depot. Each driver executes a specific sequence of movements and turns. Match each van's movement sequence with the final direction it is facing.

  • Van 1: Starts moving North, turns 90∘90^\circ clockwise, travels forward, then turns 135∘135^\circ anti-clockwise.North-West
  • Van 2: Starts moving South, takes a left turn, travels forward, takes a right turn, and finally turns 45∘45^\circ clockwise.South-West
  • Van 3: Starts moving West, turns 135∘135^\circ clockwise, travels forward, then takes a 90∘90^\circ right turn.South-East
  • Van 4: Starts moving East, takes a U-turn, travels forward, takes a right turn, and finally turns 45∘45^\circ clockwise.North-East

Cevap

Van 1 matches with North-West, Van 2 matches with South-West, Van 3 matches with South-East, and Van 4 matches with North-East.
By mapping out each individual vehicle's rotational shifts on a standard compass rose, the exact final orientations correctly pair Van 1 to North-West, Van 2 to South-West, Van 3 to South-East, and Van 4 to North-East.

Adım Adım Çözüm

1
Track Van 1's orientation sequentially.
North -> East -> North-West.
North is 0∘0^\circ. A 90∘90^\circ clockwise turn results in East (90∘90^\circ). A 135∘135^\circ anti-clockwise turn from East subtracts 135∘135^\circ, ending at 315∘315^\circ, which is North-West.
2
Track Van 2's orientation sequentially.
South -> East -> South -> South-West.
South is 180∘180^\circ. A left turn from South faces East (90∘90^\circ). A right turn from East returns to South (180∘180^\circ). A 45∘45^\circ clockwise turn from South adds 45∘45^\circ, ending at 225∘225^\circ, which is South-West.
3
Track Van 3's orientation sequentially.
West -> North-East -> South-East.
West is 270∘270^\circ. A 135∘135^\circ clockwise turn adds 135∘135^\circ to reach 405∘405^\circ (equivalent to 45∘45^\circ, North-East). A 90∘90^\circ right turn from North-East adds 90∘90^\circ, ending at 135∘135^\circ, which is South-East.
4
Track Van 4's orientation sequentially.
East -> West -> North -> North-East.
East is 90∘90^\circ. A U-turn flips the direction to West (270∘270^\circ). A right turn from West faces North (0∘0^\circ). A 45∘45^\circ clockwise turn from North ends at 45∘45^\circ, which is North-East.

Anahtar Kavram

Angular Rotations and Cardinal Direction Mapping
Bu soruyu puanla

Konular

Direction and Distance Test

Bu konudan daha fazla soru