anonymous
  • anonymous
Assume the radius of Earth is 3960 miles and that there areno hills or obstructions. About how far can you see to the horizon from an airplane 5 miles high?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Your line of sight from the plane forms a tangent with Earth (the horizon), this gives you a right-angled triangle with sides of length 3960m and 3960+5=3965m. Using Pythagoras' theorem give the other side as:\[\sqrt{3965^2-3960^2}\approx199m\]
anonymous
  • anonymous
thanks.
anonymous
  • anonymous
No problem.

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