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Zorluk: OrtaDirection and Distance Test

Match each movement sequence in Column I with its correct final position or facing direction in Column II.

  • A person walks 8 m8\text{ m} North, turns right and walks 6 m6\text{ m}, then turns right and walks 8 m8\text{ m}.6 m6\text{ m} East of the starting point
  • A person walks 5 m5\text{ m} East, turns left and walks 12 m12\text{ m}, then turns left and walks 5 m5\text{ m}.12 m12\text{ m} North of the starting point
  • A person facing South turns 135∘135^\circ anti-clockwise, and then turns 180∘180^\circ clockwise.Facing South-West direction
  • At sunrise, a person walks towards their shadow for 10 m10\text{ m}, turns left and walks 10 m10\text{ m}.102 m10\sqrt{2}\text{ m} South-West of the starting point

Cevap

Sequence 1 matches with 6 m East of the starting point; Sequence 2 matches with 12 m North of the starting point; Sequence 3 matches with Facing South-West direction; Sequence 4 matches with 10√2 m South-West of the starting point.
Each movement sequence correctly matches its geometric displacement vector or facing direction by tracking cardinal axes and angular rotations step-by-step.

Adım Adım Çözüm

1
Analyze Sequence 1
Displacement: +8 m+8\text{ m} (North), +6 m+6\text{ m} (East), −8 m-8\text{ m} (South). Net displacement = (6,0)(6, 0), which is 6 m6\text{ m} East of start.
Opposite North and South movements cancel each other out.
2
Analyze Sequence 2
Displacement: +5 m+5\text{ m} (East), +12 m+12\text{ m} (North), −5 m-5\text{ m} (West). Net displacement = (0,12)(0, 12), which is 12 m12\text{ m} North of start.
Opposite East and West movements cancel each other out.
3
Analyze Sequence 3
Initial direction = South (180∘180^\circ). Anti-clockwise turn of 135∘135^\circ gives North-East (45∘45^\circ). Clockwise turn of 180∘180^\circ gives South-West (225∘225^\circ).
A 180∘180^\circ rotation reverses the current facing direction.
4
Analyze Sequence 4
At sunrise, sun is in East, shadow is West. Walking 10 m10\text{ m} West and 10 m10\text{ m} South gives displacement (−10,−10)(-10, -10). Distance = 102+102=102 m\sqrt{10^2 + 10^2} = 10\sqrt{2}\text{ m} towards South-West.
Using the Pythagorean theorem for perpendicular displacements along cardinal axes.

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Direction and Distance Test
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Direction and Distance Test

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