document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61684>Question 61684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The vertices of a triangle ae P(-1,-1) Q(2,1) R(3,-1).  Find the equation of the altitude of triangle PQR drawn from Q.\r<BR>\n" );
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document.write( "There is a meteor shower, one meteor appears at A(7,8) and disappears at B(1,4).<BR>\n" );
document.write( "calculate the gradient of the meteor's flight path<BR>\n" );
document.write( "and the acute angle between the flight path and the horizon (OX) correct to the nearest degree.\r<BR>\n" );
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document.write( "A second meteor, on a parallel path, starts at c (6,2) and disappears below the horizon at D, Find the co-ordinates of D. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46570 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     The vertices of a triangle ae P(-1,-1) Q(2,1) R(3,-1). Find the equation of the altitude of triangle PQR drawn from Q.<BR>\n" );
document.write( "LET QA BE THE ALTITUDE.<BR>\n" );
document.write( "IT IS PERPENDICULAR TO PR<BR>\n" );
document.write( "SLOPE OF PR=[-1-(-1)]/[3-(-1)]=0<BR>\n" );
document.write( "HENCE SLOPE OF QA IS -1/0 THAT IS -INFINITY<BR>\n" );
document.write( "IT PASSES THROUGH Q (2,1).HENCE EQN. F ALTITUDE IS<BR>\n" );
document.write( "X=1<BR>\n" );
document.write( "    There is a meteor shower, one meteor appears at A(7,8) and disappears at B(1,4).<BR>\n" );
document.write( "    calculate the gradient of the meteor's flight path<BR>\n" );
document.write( "    and the acute angle between the flight path and the horizon (OX) correct to the nearest degree.<BR>\n" );
document.write( "SLOPE OF AB = (4-8)/(1-7)=-4/-6=2/3 IS THE GRADIENT OF HE METEOR' PATH.<BR>\n" );
document.write( "ACUTE ANGLE = ARC TAN(2/3)=33.7 OR 34 DEGREES.\r<BR>\n" );
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document.write( "    A second meteor, on a parallel path, starts at c (6,2) and disappears below the horizon at D, Find the co-ordinates of D.\r<BR>\n" );
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document.write( "PARALLEL LINE TO ABOVE WILL HAVE SAME SLOPE AS ABOVE .<BR>\n" );
document.write( "IF D IS (H,K) , THEN<BR>\n" );
document.write( "(K-2)/(H-6)=2/3<BR>\n" );
document.write( "3(K-2)=2(H-6)<BR>\n" );
document.write( "SINCE D IS GIVEN TO BE BELOW HORIZON,ASSUMING K TO BE ZERO,WE CAN FIND H<BR>\n" );
document.write( "-6=-2(H-6)<BR>\n" );
document.write( "2H=12+6=18<BR>\n" );
document.write( "H=9<BR>\n" );
document.write( "D IS (9,0) </SPAN>\n" );
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