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A satellite is 13,200 miles from the horizon of Earth. Earth's radius is about 4,000 miles. Find the approximate distance the satellite is from the Earth's surface.

 May 30, 2016
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Not EXACTLY sure I understand  'from the horizon of the Earth'  , but I assume it is referring to a tangential line from the satellite to the earths surface.   In this case we have a RIGHT triangle with hypoteneuse equal to the distance we are looking for....

 

Pythagorean theorem  :    13200^2 + 4000^2 = d^2      d = 13792.75 miles

 

This 'd' is to the CENTER of the Earth....we must subtract the RADIUS to find the distance to the SURFACE
13792.75 - 4000 =  9792.75 Miles

 May 30, 2016
edited by ElectricPavlov  May 30, 2016

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