document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628645>Question 628645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. He then drives 1 mile (5280 ft) more and measures the angle of elevation to be 32°51'. Find the height of the mountain to the nearest foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396309 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=396309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bob is driving along a straight and level road straight toward a mountain. At some point on his trip he measures the angle of elevation to the top of the mountain and finds it to be 25°11'. He then drives 1 mile (5280 ft) more and measures the angle of elevation to be 32°51'. Find the height of the mountain to the nearest foot<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Draw a right triangle with the vertical leg representing the height of the mountain=y<BR>\n" );
document.write( "Draw a horizontal leg to the point of the 2nd measurement=x<BR>\n" );
document.write( "Continue this horizontal leg to the point of the first measurement=x+5280<BR>\n" );
document.write( "You now have two right triangles to work with.<BR>\n" );
document.write( "Both triangles have a common vertical leg=y<BR>\n" );
document.write( "One triangle has a horizontal leg of x with the angle of elevation=32º51'=32.85º<BR>\n" );
document.write( "The other triangle has a horizontal leg of x+5280 with the angle of elevation=25º11'=25.18º<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=x*tan32.85º=.65x<BR>\n" );
document.write( "y=(x+5280)*tan25.18º=.47x+2482.33<BR>\n" );
document.write( "..<BR>\n" );
document.write( ".65x=.47x+2482.33<BR>\n" );
document.write( ".18x=2482.33<BR>\n" );
document.write( "x&#8776;13791<BR>\n" );
document.write( "y=.65x<BR>\n" );
document.write( "y=8964 ft<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );