document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442273>Question 442273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two houses on the same road are 10 miles apart. The angles formed between the road and the lines of sight from the houses to a cell phone tower are 51 degrees and 39 degrees. Find the distances between each house and the cell phone tower (round to nearest tenth) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305295 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=305295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two houses on the same road are 10 miles apart. <BR>\n" );
document.write( "The angles formed between the road and the lines of sight from the houses to a<BR>\n" );
document.write( " cell phone tower are 51 degrees and 39 degrees.<BR>\n" );
document.write( " Find the distances between each house and the cell phone tower (round to nearest tenth)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the third angle: 180 - 51 - 39 = 90 degrees, so it is a right triangle<BR>\n" );
document.write( "Therefore<BR>\n" );
document.write( "sin(51) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F10 ALIGN=MIDDLE  ALT=\"a%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".777*10 = a <BR>\n" );
document.write( "a = 7.8 mi, one house dist to tower<BR>\n" );
document.write( "and<BR>\n" );
document.write( "cos(51) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F10 ALIGN=MIDDLE  ALT=\"b%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".629*10 = b<BR>\n" );
document.write( "6.3 mi, the other house to the tower<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );