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Answer

shs 31894\text{shs } 31894

Step-by-step solution

5 steps

a) Ili kujua ni kiasi gani mkulima wa pamba atahitaji kutumia kwa usafiri, tunahitaji kwanza kukokotoa umbali kati ya Wabigalo na shule ya Wahinyonyi, kisha kuzidisha kwa mbili kwa safari ya kwenda na kurudi, na hatimaye kuzidisha kwa gharama kwa kila kilomita.

Tunatumia marejeo ya gridi (grid references) yaliyotolewa:

  • Wabigalo: 400389
  • Shule ya Wahinyonyi: 415451

Kwa kawaida, marejeo ya gridi ya tarakimu sita huwakilisha kilomita na sehemu za kilomita (kwa mfano, 400389 inamaanisha kilomita 40.0 Mashariki na kilomita 38.9 Kaskazini).

  1. Tambua kuratibu (coordinates) za Wabigalo na Shule ya Wahinyonyi.

    Kuratibu za Wabigalo (E1,N1)=(40.0 km,38.9 km)(E_1, N_1) = (40.0 \text{ km}, 38.9 \text{ km})
    Kuratibu za Shule ya Wahinyonyi (E2,N2)=(41.5 km,45.1 km)(E_2, N_2) = (41.5 \text{ km}, 45.1 \text{ km})

  2. Kokotoa tofauti katika Mashariki (ΔE\Delta E) na Kaskazini (ΔN\Delta N).

    ΔE=E2−E1=41.5 km−40.0 km=1.5 km\Delta E = E_2 - E_1 = 41.5 \text{ km} - 40.0 \text{ km} = 1.5 \text{ km} ΔN=N2−N1=45.1 km−38.9 km=6.2 km\Delta N = N_2 - N_1 = 45.1 \text{ km} - 38.9 \text{ km} = 6.2 \text{ km}
  3. Kokotoa umbali wa moja kwa moja (DD) kati ya maeneo mawili kwa kutumia kanuni ya Pythagoras.

    D=(ΔE)2+(ΔN)2D = \sqrt{(\Delta E)^2 + (\Delta N)^2} D=(1.5 km)2+(6.2 km)2D = \sqrt{(1.5 \text{ km})^2 + (6.2 \text{ km})^2} D=2.25 km2+38.44 km2D = \sqrt{2.25 \text{ km}^2 + 38.44 \text{ km}^2} D=40.69 km2D = \sqrt{40.69 \text{ km}^2} D≈6.37887 kmD \approx 6.37887 \text{ km}
  4. Kokotoa jumla ya umbali kwa safari ya kwenda na kurudi (kwenda kwenye warsha na kurudi nyumbani).

    Jumla ya umbali=2×D\text{Jumla ya umbali} = 2 \times D Jumla ya umbali=2×6.37887 km≈12.75774 km\text{Jumla ya umbali} = 2 \times 6.37887 \text{ km} \approx 12.75774 \text{ km}
  5. Kokotoa jumla ya gharama ya usafiri.

    Gharama kwa kila kilomita = shs 2500

    Jumla ya gharama=Jumla ya umbali×Gharama kwa kila kilomita\text{Jumla ya gharama} = \text{Jumla ya umbali} \times \text{Gharama kwa kila kilomita} Jumla ya gharama=12.75774 km×2500 shs/km\text{Jumla ya gharama} = 12.75774 \text{ km} \times 2500 \text{ shs/km} Jumla ya gharama≈31894.35 shs\text{Jumla ya gharama} \approx 31894.35 \text{ shs}

    Kuzungusha hadi shilingi nzima iliyo karibu:
    Jumla ya gharama ni takriban shs 31894.

    shs 31894\text{shs } 31894
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