We read your photo as:

A) Geography/Navigation (i) State the location of D. (ii) What is the difference in longitude between C and B? (iii) Calculate the length of the circle of latitude 60 deg S. (iv) Calculate the distanc

Geography

ScanSolve AI Answer

Answers

3 parts
i

60∘ S, 50∘ E\text{60}^\circ \text{ S, 50}^\circ \text{ E}

ii

0∘\text{0}^\circ

iii

10799.98 nm\text{10799.98 nm}

Step-by-step solution

8 steps

let's tackle these questions.

A) Geography/Navigation

Part i

State the location of D

From the diagram, point D is located at 60∘60^\circ South latitude and 50∘50^\circ East longitude.
The location of D is 60∘ S, 50∘ E\boxed{\text{60}^\circ \text{ S, 50}^\circ \text{ E}}.

Part ii

0∘\text{0}^\circ

What is the difference in longitude between C and B?

  1. Identify the longitudes of C and B.

    Point C is at 40∘40^\circ W longitude.
    Point B is at 40∘40^\circ W longitude.

  2. Calculate the difference in longitude.

    Since both points are at the same longitude, the difference is 0∘0^\circ.
    The difference in longitude between C and B is 0∘\boxed{\text{0}^\circ}.

Part iii

10799.98 nm\text{10799.98 nm}

Calculate the length of the circle of latitude 60∘60^\circ S

  1. Use the formula for the circumference of a parallel of latitude.

    The radius of the Earth is R=3437 nmR = 3437 \text{ nm}.
    The latitude is ϕ=60∘\phi = 60^\circ.
    The length of the circle of latitude LL is given by L=2πRcos⁡ϕL = 2 \pi R \cos \phi.

  2. Substitute the given values and calculate.

    Given π=3.14\pi = 3.14 and cos⁡60∘=0.5\cos 60^\circ = 0.5.

    L=2×3.14×3437 nm×cos⁡60∘L = 2 \times 3.14 \times 3437 \text{ nm} \times \cos 60^\circ L=2×3.14×3437 nm×0.5L = 2 \times 3.14 \times 3437 \text{ nm} \times 0.5 L=3.14×3437 nmL = 3.14 \times 3437 \text{ nm} L=10799.98 nmL = 10799.98 \text{ nm}

    The length of the circle of latitude 60∘60^\circ S is 10799.98 nm\boxed{\text{10799.98 nm}}.

Part iv· 4 steps

Calculate the distance between B and D along the latitude 60∘60^\circ S

Assumption: Point B is at 20∘20^\circ N, 40∘40^\circ W, which is not on latitude 60∘60^\circ S. It is assumed the question meant to ask for the distance between points C and D along latitude 60∘60^\circ S, as both C and D are on this latitude.

  1. Identify the locations of C and D and their common latitude.

    Point C: 60∘60^\circ S, 40∘40^\circ W
    Point D: 60∘60^\circ S, 50∘50^\circ E
    Common latitude ϕ=60∘\phi = 60^\circ S.

  2. Calculate the difference in longitude (Δλ\Delta \lambda).

    Since one point is West and the other is East, add their longitudes.

    Δλ=40∘+50∘=90∘\Delta \lambda = 40^\circ + 50^\circ = 90^\circ
  3. Apply the formula for distance along a parallel of latitude.

    The distance dd is given by d=Δλ×60 nm/degree×cos⁡ϕd = \Delta \lambda \times 60 \text{ nm/degree} \times \cos \phi.

  4. Substitute the values and calculate.

    cos⁡60∘=0.5\cos 60^\circ = 0.5.

    d=90∘×60 nm/degree×cos⁡60∘d = 90^\circ \times 60 \text{ nm/degree} \times \cos 60^\circ d=90×60×0.5 nmd = 90 \times 60 \times 0.5 \text{ nm} d=2700 nmd = 2700 \text{ 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
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp