document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70816>Question 70816</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1572321806/algebrahomeworkh>Looking for pythagoras</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Lotsafun Amusement Park has a new ride, th Sky Breaker. The starting and ending points of the ride are seperated by 1000 meters. The tram cars glide along a cable that rises at a 45 degree angle from the ground until it reaches a height of 15 meters. The cable runs parallel to the ground for most of the ride, eventually sloping down again at a 45 degree angle with the ground. How long to the nearesttenth of a meter, is the cable for the Sky Breaker ride? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50602 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=50602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the picture of the cable path.<BR>\n" );
document.write( "To travel the first 15 horizontal distance the cable travels 15sqrt2 meters<BR>\n" );
document.write( "because the cable car follows the hypotenuse of a right triangle with legs<BR>\n" );
document.write( "equal to 15 meters.<BR>\n" );
document.write( "To travel the last 15 horizontal distance the cable travels 15sqrt2 meters<BR>\n" );
document.write( "for the same reason<BR>\n" );
document.write( "--------------.<BR>\n" );
document.write( "The horizontal part of the path is 1000-2(15)=970 meters<BR>\n" );
document.write( "Total path =  970+2(15sqrt2) = 970+30sqrt2 = 970+42.4264 = 1012.4264 meters<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );