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Direction sense

Lesson 32 of 113

1. Ye topic hai kya?

Koi chalke rasta badalta hai. Paper poochhta hai: ab kis taraf face, start se kis direction, ya kitni shortest doori.

Sitting se farq

Sitting: log bench/circle pe. Yahan aadmi chalta hai — North-South map. Circle-left alag topic.

Clocks se farq

Ghadi ka angle Clocks pe. Yahan suraj sirf shadow ke liye (subah East, shaam West).

2. Compass — paper pe N upar

Exam default: page ka upar = North, right = East. Tab tak jab paper ulta na bole.

Do sawaal alag:
1) Ab face kahan — last turn ke baad muh
2) Start se position kahan — net North/South aur East/West
Dono same nahi. Face East ho sakta hai, position phir bhi start ke North-West.

3. Paper pe dimag kaise chale

Yahi order:
1) Start point O, muh jo diya (nahi diya to pehli walk ki direction = face)
2) Har kadam: kitna + kis taraf. Opposite kaat do (N↔S, E↔W)
3) Jo bache, woh net. Dono axes bachen to diagonal (NE/NW/SE/SW)
4) Shortest = √(x² + y²) — 3-4-5, 6-8-10, 5-12-13 yaad
5) Left/right uske muh se, page se nahi
6) “A is to the East of B” = B se dekho to A East
Galati: facing South ho to page-right ko East mat samajh. South face pe uska right = West.

4. Left / right / 180°

90° left ya right. About-turn = 180°. Clockwise = right turns (N→E→S→W).

FaceLeftRightPeeche (180°)
NorthWestEastSouth
EastNorthSouthWest
SouthEastWestNorth
WestSouthNorthEast
Basic · turn

Q1. North face karke 90° right. Ab muh kahan?

Solution shuru

  1. Step 1

    North ki right = East. Table ki pehli row.

Final answer — yahan khatamEast
Basic · chain

Q2. East face. Left, phir left, phir right. Ab muh?

Solution shuru

  1. Step 1

    East → left = North.

  2. Step 2

    North → left = West.

  3. Step 3

    West → right = North.

Final answer — yahan khatamNorth

5. Path — opposite kaato

Har direction ka total likho. N se S girao, E se W. Jo bache woh position.

Basic · net

Q3. 5 km South, 3 km West, 5 km North. Start se kahan hai?

Solution shuru

  1. Step 1

    South 5 aur North 5 kat gaye.

  2. Step 2

    West 3 bacha. Start se 3 km West.

Gold = start, maroon = end. End start ke West.

Final answer — yahan khatam3 km West
Medium · net

Q4. 2 km East, 2 km South, 4 km West, 2 km North. Start se?

Solution shuru

  1. Step 1 — E/W

    East 2, West 4 → net 2 km West.

  2. Step 2 — N/S

    South 2, North 2 → 0.

Final answer — yahan khatam2 km West
Basic · diagonal

Q5. 5 km North, phir 3 km East. Start se kaun si direction?

Solution shuru

  1. Step 1

    Net North aur East dono bache → North-East.

  2. Step 2

    5 ≠ 3 to exact 45° NE nahi, lekin paper “North-East” hi maanta hai.

Final answer — yahan khatamNorth-East

6. Shortest doori

Do axes bachen to right triangle. Hypotenuse = shortest. Famous: 3²+4²=5², 6-8-10, 5-12-13.

Medium · 3-4-5

Q6. 8 km North, 6 km East. Start se shortest?

Solution shuru

  1. Step 1

    Right triangle 6 aur 8. 6-8-10 family (3-4-5 ×2).

  2. Step 2

    √(36+64)=√100=10 km. Direction North-East.

Final answer — yahan khatam10 km (North-East)

7. “A from B”

B pe khade hoke A ki taraf dekho. “C is East of A” ≠ “A is East of C”.

Medium · relative

Q7. A, B ke East. C, A ke North. D, C ke West. Har kadam same lambai. D, B se kahan?

Solution shuru

  1. Step 1

    B → East = A → North = C → West (same) = D. D seedha B ke upar.

  2. Step 2

    B se D = North. (Lambai alag hoti to NW/NE ho sakta — yahan same di.)

Final answer — yahan khatamNorth
Medium · towns

Q8. P, Q se 4 km North. R, P se 4 km East. S, R se 4 km South. Q se S shortest?

Solution shuru

  1. Step 1

    Q → 4 N → P → 4 E → R → 4 S → S. South 4, North 4 kat gaye.

  2. Step 2

    S, Q ke barabar line pe, 4 km East. Shortest = 4 km East.

Final answer — yahan khatam4 km East

8. Shadow (subah / shaam)

Subah sooraj East — saaya West. Shaam sooraj West — saaya East. Saaya hamesha sooraj ke ulta.

Dopahar ka vertical shadow LDC mein almost nahi. Agar “sun behind him” ho to muh sooraj ki taraf nahi, ulta.
Medium · morning

Q9. Subah, aadmi ke saaye uske right pe girta hai. Muh kahan?

Solution shuru

  1. Step 1

    Subah saaya = West.

  2. Step 2

    Uska right = West. Right West ho to face = South. (Table: South ki right = West.)

Final answer — yahan khatamSouth
Pro · face + path

Q10. North face, 10 km seedha, right karke 10, right karke 10, left karke 5. Ab muh kahan, start se kahan?

Solution shuru

  1. Step 1 — face har turn

    Start North. Right → East. Right → South. Left (South se) → East. Last face = East.

  2. Step 2 — net

    N 10, E 10, S 10, E 5. N–S kat. E = 15 km.

Final answer — yahan khatamFacing East; start se 15 km East

9. Pro checklist

  1. Face aur position alag lock karo.
  2. Left/right uske muh se. South face → right = West.
  3. Opposite kaato, phir diagonal/shortest.
  4. 3-4-5 family bina calculator.
  5. “From B” = B pe khade.
  6. Subah saaya West, shaam East.

10. Practice

Pehle khud socho, phir neeche solution kholo. Q1–Q10 yahan nahi dohraaye.

Basic

Practice 1. 3 km West, 3 km South. Start se direction?

Solution shuru

  1. Step 1

    West aur South dono → South-West.

Final answer — yahan khatamSouth-West
Basic

Practice 2. South face, left turn. Ab muh?

Solution shuru

  1. Step 1

    South ki left = East.

Final answer — yahan khatamEast
Medium

Practice 3. 4 km East, 3 km North. Shortest start se?

Solution shuru

  1. Step 1

    3-4-5 triangle. Shortest 5 km, direction North-East.

Final answer — yahan khatam5 km (North-East)
Basic

Practice 4. 4 km East, 3 km North, 4 km West. Start se?

Solution shuru

  1. Step 1

    East 4 West 4 kat. North 3 bacha.

Final answer — yahan khatam3 km North
Medium

Practice 5. Shaam, saaya uske saamne (front). Muh kahan?

Solution shuru

  1. Step 1

    Shaam saaya = East.

  2. Step 2

    Front = East → face East.

Final answer — yahan khatamEast
Basic

Practice 6. West face, 180° turn, phir right. Ab muh?

Solution shuru

  1. Step 1

    West + 180° = East.

  2. Step 2

    East ki right = South.

Final answer — yahan khatamSouth
Basic

Practice 7. A, B ke North. C, A ke East. C, B se kahan? (same lambai maano.)

Solution shuru

  1. Step 1

    B se A North, A se C East → C is North-East of B.

Final answer — yahan khatamNorth-East
Medium

Practice 8. Square ka rasta: har side 5 km. North se shuru, har kone pe right. Teen sides ke baad start se kahan, muh kahan?

Solution shuru

  1. Step 1 — faces

    Start face North, 5 km. Right → East 5. Right → South 5. Ab face South.

  2. Step 2 — net

    N 5 S 5 kat. E 5 bacha. Start se 5 km East, face South.

Final answer — yahan khatam5 km East; facing South
Medium

Practice 9. 7 km North, 4 km East, 3 km South, 4 km West. Start se?

Solution shuru

  1. Step 1

    E 4 W 4 = 0. N 7 − S 3 = 4 km North.

Final answer — yahan khatam4 km North
Pro

Practice 10. Subah, saaya uske left pe. Muh kahan?

Solution shuru

  1. Step 1

    Subah saaya = West.

  2. Step 2

    Left = West → face North. (North ki left = West.)

Final answer — yahan khatamNorth

11. Itna kaafi hai kya?

Agar face vs position alag rakh sako, opposite kaat ke net nikaal sako, 3-4-5 se shortest, aur subah/shaam saaya lock kar sako — to JA/CA-II ke direction sawaal basic se pro tak attempt ho sakte hain.

Agle topic: Ranking / order / height.

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