document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767225>Question 767225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a plane is flying 6 miles above the surface of the earth. A passenger looks out of the window to the distant horizon. On a clear day how far is the horizon to the nearest mile? assume the radius of the earth is 3960 miles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467506 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A right triangle is formed with 6 miles above the earth and 3,960 mile radius <BR>\n" );
document.write( "being the legs of the right triangle.  The distance to the horizon is the <BR>\n" );
document.write( "hypotenuse.\r<BR>\n" );
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document.write( "a² + b² = c² {the Pythagorean Theorem}<BR>\n" );
document.write( "a and b are the legs, c is the hypotenuse\r<BR>\n" );
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document.write( "3960² + 6² = c² {substituted into the Pythagorean Theorem}<BR>\n" );
document.write( "15,681,600 + 36 = c² {evaluated exponents}<BR>\n" );
document.write( "15,681,636 = c² {added}<BR>\n" );
document.write( "c &#8776; 3,960.005 {took square root of each side and rounded}\r<BR>\n" );
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document.write( "The horizon is approximately 3,960 miles away<BR>\n" );
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