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Physics/Horizon distance

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Question
Hi! How far will the horizon appear at the heights of 10 and 12 meters? I'm just curious about how much farther can horizon be at 12 meters height than 10 meters height.

Answer
Actually, it's a pretty easy problem.  Think of it in terms of a right triangle where one side is the radius r of the Earth. 6.38x10^6m, one side is the distance d to the horizon from the top of a tower that's m meters high and the hypotenuse is r+m.  
therefore, (r+m)^2 = r^2 + d^2
so if m = 10, d = 8000m and if m=12, d = 8750m  

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Richard J. Raridon

Expertise

I can answer most questions in undergraduate physics courses, including electricity and magnetism, atomic and nuclear, mechanics and optics.

Experience

I have taught undergraduate physics courses

Organizations
Sigma Xi, AAAS, SE section of APS

Education/Credentials
BA in math, MA in physics, PhD in physical chemistry

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Fellow of AAAS

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