document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986260>Question 986260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Christmas day 2007 a tiger leapt from its enclosure at San Francisco Zoo. Official guidelines said a wall to contain tiger's should be 5 metres high. The zoo's wall was only 3.8 metres high but the tiger also had to jump a 10 metre moat. The tiger could run at the moat before leaping at the wall (curved path) . With a 5 metre run-up, tigers reach 14 metres per second at take-off. This formula calculates how fast an animal has to be moving to be able to leap over a moat AND a wall. <BR>\n" );
document.write( "           V=sqrt(9.8(h+sqrt(h^2+w^2)) <BR>\n" );
document.write( "where V=takeoff speed, h=height of wall w=width of moat.\r<BR>\n" );
document.write( "\n" );
document.write( "i) Would the tiger have been able to leap over a wall 5 metres high if I was running at 14 metres per second? (You must support your answer with calculations using the formula).\r<BR>\n" );
document.write( "\n" );
document.write( "ii) If it wasn't possible to make the wall higher than 3.8 metres, then you could make the moat wider. By rearranging the equation to make w the subject calculate how wide a moat is needed to contain a tiger running at 14 metres per second?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607045 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "V=takeoff speed; h=height of wall; w=width of moat.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=sqrt%289.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"V=sqrt%289.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "1) Would the tiger have been able to leap over a wall 5 meters high if it was running at 14 meters per second? (moat=w=10 meters)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14=sqrt%289.8%28h%2Bsqrt%28h%5E2%2B10%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"14=sqrt%289.8%28h%2Bsqrt%28h%5E2%2B10%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196=9.8h%2B9.8sqrt%28h%5E2%2B100%29 ALIGN=MIDDLE  ALT=\"196=9.8h%2B9.8sqrt%28h%5E2%2B100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=h%2Bsqrt%28h%5E2%2B100%29 ALIGN=MIDDLE  ALT=\"20=h%2Bsqrt%28h%5E2%2B100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-h=sqrt%28h%5E2%2B100%29 ALIGN=MIDDLE  ALT=\"20-h=sqrt%28h%5E2%2B100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-h%29%5E2=h%5E2%2B100 ALIGN=MIDDLE  ALT=\"%2820-h%29%5E2=h%5E2%2B100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2-40h%2B400=h%5E2%2B100 ALIGN=MIDDLE  ALT=\"h%5E2-40h%2B400=h%5E2%2B100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40h%2B300=0 ALIGN=MIDDLE  ALT=\"-40h%2B300=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40h=-300 ALIGN=MIDDLE  ALT=\"-40h=-300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=7.5meters ALIGN=MIDDLE  ALT=\"h=7.5meters\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "ANSWER: Running at 14 m/s, the tiger could jump over a 10 meter moat and a wall 7.5 meters high.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2) How wide must the moat be to contain a tiger running at 14 meters per second? <BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=sqrt%289.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"V=sqrt%289.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5E2=9.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29 ALIGN=MIDDLE  ALT=\"V%5E2=9.8%28h%2Bsqrt%28h%5E2%2Bw%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5E2%2F9.8=h%2Bsqrt%28h%5E2%2Bw%5E2%29 ALIGN=MIDDLE  ALT=\"V%5E2%2F9.8=h%2Bsqrt%28h%5E2%2Bw%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28V%5E2%2F9.8%29-h=sqrt%28h%5E2%2Bw%5E2%29 ALIGN=MIDDLE  ALT=\"%28V%5E2%2F9.8%29-h=sqrt%28h%5E2%2Bw%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28V%5E2%2F9.8%29-h%29%5E2=h%5E2%2Bw%5E2 ALIGN=MIDDLE  ALT=\"%28%28V%5E2%2F9.8%29-h%29%5E2=h%5E2%2Bw%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2=w%5E2 ALIGN=MIDDLE  ALT=\"%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2=w%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2%29=w ALIGN=MIDDLE  ALT=\"sqrt%28%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "For V=14 m/s and h=3.8 m:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2%29=w ALIGN=MIDDLE  ALT=\"sqrt%28%28%28V%5E2%2F9.8%29-h%29%5E2-h%5E2%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28%2814%5E2%2F9.8%29-3.8%29%5E2-3.8%5E2%29=w ALIGN=MIDDLE  ALT=\"sqrt%28%28%2814%5E2%2F9.8%29-3.8%29%5E2-3.8%5E2%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816.2%5E2-3.8%5E2%29=w ALIGN=MIDDLE  ALT=\"sqrt%2816.2%5E2-3.8%5E2%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28248%29=w ALIGN=MIDDLE  ALT=\"sqrt%28248%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12sqrt%282%29=w ALIGN=MIDDLE  ALT=\"12sqrt%282%29=w\"   DISABLED_style= \"max-width:90%; height:auto;\" > or approximately 16.97 meters<BR>\n" );
document.write( ".<BR>\n" );
document.write( "ANSWER: With a 3.8 meter wall, the moat must be 16.97 meters wide to contain the tiger. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );