document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=237420>Question 237420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm not sure how to set this up. \" A Cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On the top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed directly to some grain on the level straight road between the towers. The pigeons reach the grain at the same time. How far is the grain from the foot of the cathedral tower?\" \r<BR>\n" );
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document.write( "I was thinking of using the Pythagorean Theorem formula but, I didn't know which numbers to use for which. \r<BR>\n" );
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document.write( "please help if you can.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174607 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=174607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure how to set this up. <BR>\n" );
document.write( "\" A Cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On the top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed directly to some grain on the level straight road between the towers. The pigeons reach the grain at the same time. <BR>\n" );
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document.write( "How far is the grain from the foot of the cathedral tower?\" <BR>\n" );
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document.write( "Draw the picture.  You have two right triangles.<BR>\n" );
document.write( "The hypotenuse of each triangle is the distance from the top to the grain.<BR>\n" );
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document.write( "Since the times and the speeds are the same for both pigeons,<BR>\n" );
document.write( "you only need to compare the distance each must fly.  In both<BR>\n" );
document.write( "cases that is the hypotenuse of a right triangle<BR>\n" );
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document.write( "Let the distance from the base of the church tower be \"x\".<BR>\n" );
document.write( "Then the distance from the base of the cathedral to the grain is  \"250-x\" ft<BR>\n" );
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document.write( "150^2+x^2 = 200^2 + 250^2 - 500x + x^2<BR>\n" );
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document.write( "500x = 200^2 + 250^2-150^2<BR>\n" );
document.write( "x = [200^2 + 250^2 - 150^2]/500<BR>\n" );
document.write( "x = 160 ft.<BR>\n" );
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document.write( "250-x = 90 ft. (distance the grain is from the base of the cathedral)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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