We read your photo as:

Find the distance along a circle of latitude then A(55°N, 35°E) and B(55°N, 70°E) on the earth's surface in:

Mathematics

ScanSolve AI Answer

Answers

2 parts
a

2244 km\text{2244 km}

b

1211 nm\text{1211 nm}

Step-by-step solution

3 steps

Sawa Pretty, wacha tuendelee na swali la 8.

Tutatumia radius ya Dunia R=6370R = 6370 km na kwamba 1 nautical mile (nm) =1.852= 1.852 km.

8) Tafuta umbali kando ya duara la latitudo kati ya pointi A(55∘N,35∘E55^\circ N, 35^\circ E) na B(55∘N,70∘E55^\circ N, 70^\circ E) kwenye uso wa Dunia.

Pointi zote mbili ziko kwenye latitudo moja (α=55∘N\alpha = 55^\circ N). Tofauti ya longitudo (θ\theta) itakuwa:

θ=70∘−35∘=35∘\theta = 70^\circ - 35^\circ = 35^\circ

Fomula ya umbali kando ya latitudo ni:

D=θ360∘×2πRcos⁡αD = \frac{\theta}{360^\circ} \times 2\pi R \cos \alpha

Part a· 2 steps

Katika km

  1. Badilisha maadili kwenye fomula.

    Dkm=35∘360∘×2π(6370 km)cos⁡(55∘)D_{km} = \frac{35^\circ}{360^\circ} \times 2\pi (6370 \text{ km}) \cos(55^\circ)
  2. Kokotoa.

    Dkm=0.097222...×2π(6370 km)×0.573576...D_{km} = 0.097222... \times 2\pi (6370 \text{ km}) \times 0.573576... Dkm≈2243.68 kmD_{km} \approx 2243.68 \text{ km} Dkm≈2244 kmD_{km} \approx \boxed{\text{2244 km}}

Part b

1211 nm\text{1211 nm}

Katika nm

  1. Badilisha umbali kutoka km kwenda nm.

    Dnm=Dkm1.852 km/nmD_{nm} = \frac{D_{km}}{1.852 \text{ km/nm}} Dnm=2243.68 km1.852 km/nmD_{nm} = \frac{2243.68 \text{ km}}{1.852 \text{ km/nm}} Dnm≈1211.49 nmD_{nm} \approx 1211.49 \text{ nm} Dnm≈1211 nmD_{nm} \approx \boxed{\text{1211 nm}}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question