document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868923>Question 868923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you. The height of the grappling hook you throw is given by the function h(t) = -16t^2 - 32t + 5. \r<BR>\n" );
document.write( "\n" );
document.write( "What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524749 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=524749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you. The height of the grappling hook you throw is given by the function h(t) = -16t^2 - 32t + 5. <BR>\n" );
document.write( "What is the maximum height of the grappling hook? Can you throw it high enough to reach the ledge?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "h(t) = -16t^2 - 32t + 5.<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "h(t) = -16(t^2+2t+1)+16+ 5.<BR>\n" );
document.write( "= -16(t+1)^2+21<BR>\n" );
document.write( "This is an equation of a parabola that opens downward with vertex at (-1,21)csccs<BR>\n" );
document.write( "maximum height of the grappling hook=21 ft<BR>\n" );
document.write( "Yes, you can you throw it high enough to reach the ledge? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );