document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034720>Question 1034720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man measures the angle of elevation to the top of a mountain to be 12 degrees. He drives 7 miles closer and finds the angle of elevation to be 37 degrees. How high is the mountain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649413 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the tan function on both angles, and solve the equation, but first convert miles to feet:<BR>\n" );
document.write( "7 miles = 36960 (1 mile = 5280 feet)<BR>\n" );
document.write( "height/(length+36960)= tan 12<BR>\n" );
document.write( "height/length = tan 37 <BR>\n" );
document.write( "height/(length+36960)= 0.21256<BR>\n" );
document.write( "height/length = 0.7536<BR>\n" );
document.write( "Height of the mountain:<BR>\n" );
document.write( "h= (36960*0.7536*0.21256)/(0.7536-0.21256) = 10942.71 feet<BR>\n" );
document.write( "Hopefully I have it right. Please let me know if I don't. Learning is a continuous cycle.<BR>\n" );
document.write( "John <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=addingup&illustration_name=Mountain.JPG\"> </SPAN>\n" );
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