A satellite is in orbit 600\ \mathrm{k}\mathrm{m}600 km above Earth's surface. Earth's radius is about 6370\ \mathrm{k}\mathrm{m}6370 km. Using the Pythagorean theorem, the distance \left(\mathrm{x}\right)(x)from the satellite to the Earth's horizon is

Answer :

The distance from the satellite to the Earth's horizon is 6398 km

Pythagoras theorem

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given by:

Hypotenuse side² = Adjacent side² + Opposite side²

Let x represent the distance from the satellite to the Earth's horizon

Hence:

  • x² = 6370² + 600²
  • x² = 40936900
  • x = 6398 km

The distance from the satellite to the Earth's horizon is 6398 km

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