document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234948>Question 234948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem=<BR>\n" );
document.write( "Stu lives on the top floor of an apartment building, and Hal lives on a lower floor. Hal's window is 1/4 as high as Stu's. Stu drops a stone from his window. Three seconds later, Hal drops a stone from his window. The two stones hit the ground simultaneously. How high is Stu's window from the ground?\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for helping me to solve this problem.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173232 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Stu lives on the top floor of an apartment building, and Hal lives on a lower floor.<BR>\n" );
document.write( " Hal's window is 1/4 as high as Stu's. Stu drops a stone from his window.<BR>\n" );
document.write( " Three seconds later, Hal drops a stone from his window. <BR>\n" );
document.write( "The two stones hit the ground simultaneously. <BR>\n" );
document.write( "How high is Stu's window from the ground?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using gravity expression for falling objects: h = 16t^2,<BR>\n" );
document.write( " where <BR>\n" );
document.write( "t = time in sec<BR>\n" );
document.write( "h = height in ft<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Hal's rock in the air 3 sec less than Stu's<BR>\n" );
document.write( "Stu's height is 4 time Hal's height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time for Stu's Rock to hit the ground<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Stu's ht = 4 times Hal's height<BR>\n" );
document.write( "16t^2 = 4(16(t-3)^2) <BR>\n" );
document.write( "16t^2 = 64(t-3)^2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Simplify. divide both sides by 16<BR>\n" );
document.write( "t^2 = 4(t-3)^2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "t^2 = 4(t^2 - 6t + 9)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "t^2 = 4t^2 - 24t + 36 <BR>\n" );
document.write( ";<BR>\n" );
document.write( "Arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = 4t^2 - t^2 - 24t + 36 <BR>\n" );
document.write( "3t^2 - 24t + 36 = 0<BR>\n" );
document.write( "factor<BR>\n" );
document.write( "(3t - 6)(t - 6) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "3t = 6<BR>\n" );
document.write( "t = 2 sec<BR>\n" );
document.write( "and <BR>\n" );
document.write( "t = 6 sec, this one makes sense (Stu's rock's time to hit the ground)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Hal's time: 6 - 3 = 3 sec to hit the ground, find his height<BR>\n" );
document.write( "h = 16(3^2)<BR>\n" );
document.write( "h = 144 ft ft, Hal's height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Stu's time: 6 sec<BR>\n" );
document.write( "h = 16(6^2)<BR>\n" );
document.write( "h = 576 ft, Stu's height<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by multiplying Hal's height by 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );