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What is the distance to the horizon that a person can see on a clear day from an airplane 2 miles above Earth? Earth's radius is approximately 4000 miles.

Answer :

To find the distance to the horizon that a person can see from an airplane at a height of 2 miles above Earth, we can use the formula for the distance to the horizon:

[tex]d = \sqrt{2 \times h \times r}[/tex]

Where:

  • [tex]d[/tex] is the distance to the horizon (in miles).
  • [tex]h[/tex] is the height above the Earth's surface (in miles).
  • [tex]r[/tex] is the radius of the Earth (in miles).

Given:

  • [tex]h = 2[/tex] miles
  • [tex]r = 4000[/tex] miles

Substituting the given values into the formula:

[tex]d = \sqrt{2 \times 2 \times 4000}[/tex]

[tex]d = \sqrt{16000}[/tex]

[tex]d \approx 126.49[/tex] miles

Therefore, on a clear day, a person in an airplane 2 miles above Earth can see approximately 126.49 miles to the horizon.

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