WAEC WAEC Nigeria General Mathematics

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(Length and Perimeters)

Longitudes and Latitudes

Longitudes and Latitudes

Understanding Longitudes and Latitudes

Longitudes and latitudes are imaginary lines used to locate points on the Earth's surface. They are essential for navigation and geography.

Latitudes

  • Latitudes are horizontal lines that run parallel to the Equator.
  • The Equator is at 0° latitude, dividing the Earth into the Northern and Southern Hemispheres.
  • Latitudes range from 0° at the Equator to 90° at the poles.

Longitudes

  • Longitudes are vertical lines that run from the North Pole to the South Pole.
  • The Prime Meridian, at 0° longitude, passes through Greenwich, England.
  • Longitudes range from 0° to 180° east or west of the Prime Meridian.

Calculating Distances Along Latitudes

The distance between two points along the same latitude can be calculated using the formula:

Distance=Δλ×cos(ϕ)×111 km\text{Distance} = \Delta \lambda \times \cos(\phi) \times 111 \text{ km}

  • Δλ\Delta \lambda is the difference in longitude between the two points.
  • ϕ\phi is the latitude of the points.
  • 111 km is the approximate distance of 1° of longitude at the Equator.

Worked Example

Calculate the distance between two points on the same latitude of 30°N, with longitudes 10°E and 20°E.

Tuity Tip

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Remember: The Earth is not a perfect sphere, so these calculations are approximations.

Latitude Impact: The distance between longitudes decreases as you move away from the Equator.

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