document.write( "Question 18891: You are on a pleasure cruise through the universe and you crash in the ocean of an unknown planet. Your spaceship floats on the water and its top is 34 feet above the surface of the water. You swim away from the spaceship until you see its top on the horizon. Your laser range meter tells you that your eyes are 2.2 miles away from the top of the space ship. (You are a capable - if reckless and curious - swimmer.) The radius of the planet is miles. It's a small world, but it's all yours! \r
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Algebra.Com's Answer #10038 by kapilsinghi(68)\"\" \"About 
You can put this solution on YOUR website!
consider a circle with radius x\r
\n" ); document.write( "\n" ); document.write( "ther is a point on circumfrence s where the ship is
\n" ); document.write( "connect this point to the center of circle o\r
\n" ); document.write( "\n" ); document.write( "extend os line to outside of circle to point t
\n" ); document.write( "which is the top of the ship\r
\n" ); document.write( "\n" ); document.write( "so we have line ost wher os = x and st = 34f\r
\n" ); document.write( "\n" ); document.write( "draw a tangent to the circle passing through t and touching the circle
\n" ); document.write( "at point k so we have tk as the distance of swimmer from the tip of the ship
\n" ); document.write( "which is 2.2 miles = 2.2*5280 feet = 11616 Feet\r
\n" ); document.write( "\n" ); document.write( "connect k to center of circle o \r
\n" ); document.write( "\n" ); document.write( "u can see a right triangle okt right angled at k\r
\n" ); document.write( "\n" ); document.write( "ko = x
\n" ); document.write( "kt = 11616
\n" ); document.write( "to = x + 35\r
\n" ); document.write( "\n" ); document.write( "So ko^2 + kt^2 = to^2
\n" ); document.write( " x^2 + 11616^2 = (x + 35)^2
\n" ); document.write( " x^2 + 11616^2 = x^2 + 35^2 + 70x
\n" ); document.write( " 11616^2 = 35^2 + 70x
\n" ); document.write( " 11616^2 - 35^2 = 70x
\n" ); document.write( "134930231 = 70x
\n" ); document.write( "x = 134930231/70
\n" ); document.write( " = 1927574Feet
\n" ); document.write( " = 1927574/5280 miles
\n" ); document.write( " = 365 Miles\r
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