document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299279>Question 299279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am standing at the trailhead of a mountain trail on level ground. I know from my map that the horizontal distance from this spot to the top of the mountain is 3 miles. I find that the angle of elevation to the top of the mountain from this point is 4 degrees. What is the height of the mountain, in feet?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215102 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use the Tangent function to find the height of the mountain.<BR>\n" );
document.write( "Let h = height of mountain and the horozontal distance to the mountain of 3 miles is the same as the length of the base of the right triangle.<BR>\n" );
document.write( "The tangent of the angle of elevation is expressed by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F3 ALIGN=MIDDLE  ALT=\"h%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ", so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Tan%284%29+=+h%2F3 ALIGN=MIDDLE  ALT=\"Tan%284%29+=+h%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for h.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+3%2Atan%284%29 ALIGN=MIDDLE  ALT=\"h+=+3%2Atan%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+0.20978 ALIGN=MIDDLE  ALT=\"h+=+0.20978\"   DISABLED_style= \"max-width:90%; height:auto;\" >Miles.<BR>\n" );
document.write( "Convert to feet by multiplying by 5,280 ft/mi.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+1107.64 ALIGN=MIDDLE  ALT=\"h+=+1107.64\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );