document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204821>Question 204821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I was hoping you can help me on this:\r<BR>\n" );
document.write( "\n" );
document.write( "Two students standing 3000M apart see the same airplane flying in the sky between them. Student A measures the angle of elevation to be 37 degrees. Student B measures the angle of elevation to be 30 degrees. How high is the airplane. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154626 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=154626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two students standing 3000M apart see the same airplane flying in the sky between them. <BR>\n" );
document.write( "Student A measures the angle of elevation to be 37 degrees.<BR>\n" );
document.write( "Student B measures the angle of elevation to be 30 degrees. <BR>\n" );
document.write( "How high is the airplane.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the 3rd angle of the triangle formed by the plane and the two observers:<BR>\n" );
document.write( "180 - 37 - 30 = 113 degrees<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the side (a) opposite the 37 degree angle using the law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28113%29%2F3000 ALIGN=MIDDLE  ALT=\"sin%28113%29%2F3000\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2837%29%2Fa ALIGN=MIDDLE  ALT=\"sin%2837%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the sines and cross multiply<BR>\n" );
document.write( ".9502a = 3000 * .6018<BR>\n" );
document.write( ".9502a = 1805.445<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1805.445%2F.9502 ALIGN=MIDDLE  ALT=\"1805.445%2F.9502\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 1961.364 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Drop a line from the 113 degree angle and perpendicular to the base,<BR>\n" );
document.write( " this is the altitude of the plane<BR>\n" );
document.write( ";<BR>\n" );
document.write( "This forms two right angle triangles, use the one containing the angle of 30 degrees<BR>\n" );
document.write( "Find the altitude (h) using the sine of 30 degrees:<BR>\n" );
document.write( "Sin(30) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F1961.364 ALIGN=MIDDLE  ALT=\"h%2F1961.364\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( ".5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F1961.364 ALIGN=MIDDLE  ALT=\"h%2F1961.364\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "h = .5 * 1961.346<BR>\n" );
document.write( "h = 980.673  meters is the height of the plane\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );