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The latitude of Pakistan is 25° North of the Equator. Using your graph, determine how many hours of daylight it would have in winter.

Question

The latitude of Pakistan is 25° North of the Equator.

Using your graph, determine how many hours of daylight it would have in winter.

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Solution

Break Down the Problem

  1. We need to determine the number of daylight hours in Pakistan during winter.
  2. Establish the approximate date of winter solstice, which occurs around December 21.
  3. Understand how latitude affects daylight hours during different seasons.

Relevant Concepts

  1. The Earth's tilt and orbit around the Sun influence the number of daylight hours.
  2. Locations at higher latitudes experience varying daylight hours based on the season.

Analysis and Detail

  1. Latitude of Pakistan: 25° North.
  2. Winter Solstice: On this date, the Northern Hemisphere is tilted away from the Sun, leading to shorter days and longer nights.
  3. Daylength Calculation: A rough rule is that the daylight hours can be approximated as: Daylight12(L66.515) \text{Daylight} \approx 12 - \left( \frac{L - 66.5}{15} \right) Where L L is the latitude in degrees and the value of 66.5 represents the Arctic Circle at which perpetual daylight or darkness begins.
    • For Pakistan (L=25 L = 25 ):
    • Applying the formula: Daylight12(2566.515) \text{Daylight} \approx 12 - \left( \frac{25 - 66.5}{15} \right)

Calculation Steps

  1. Calculate the difference: 2566.5=41.5 25 - 66.5 = -41.5
  2. Divide by 15: 41.5152.7667 \frac{-41.5}{15} \approx -2.7667
  3. Finally, calculate daylight hours: Daylight12(2.7667)12+2.766714.7667 \text{Daylight} \approx 12 - (-2.7667) \approx 12 + 2.7667 \approx 14.7667

Verify and Summarize

  • From the calculation, in winter, Pakistan receives approximately 14.77 hours of daylight on the winter solstice.
  • The value appears logical since areas at lower latitudes do not experience extreme variations in daylight hours.

Final Answer

Pakistan has approximately 14.77 hours of daylight in winter.

This problem has been solved

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