document.write( "Question 524893: The distance a person can see to the horizon from a point above the surface of Earth varies directly as the square root of the height. If, for the height of 500ft, the horizon is 19 miles away, how far is the horizon from a point that is 800 ft. high? Round answer to the nearest hundredth. \n" ); document.write( "
Algebra.Com's Answer #347961 by stanbon(75887)\"\" \"About 
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The distance a person can see to the horizon from a point above the surface of Earth varies directly as the square root of the height.
\n" ); document.write( "d = k*sqrt(h)
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\n" ); document.write( "Solve for \"k\" using \"for the height of 500ft, the horizon is 19 miles away\"
\n" ); document.write( "19 = k*sqrt(500)
\n" ); document.write( "k = 19/sqrt(500) = 0.8497
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\n" ); document.write( "Equation:
\n" ); document.write( "d = 0.0497*sqrt(h)
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\n" ); document.write( "How far is the horizon from a point that is 800 ft. high? Round answer to the nearest hundredth.
\n" ); document.write( "d = 0.8497*sqrt(800)
\n" ); document.write( "d = 24 miles
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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