document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003675>Question 1003675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem here that states. There are two buildings (I will call them \"nearby building\" and \"skyscraper\") and need to find the height of both buildings. <BR>\n" );
document.write( "-What we are told is the distance between them is 75m.<BR>\n" );
document.write( "-The angle of elevation from the base of the \"nearby building\" to the top of the \"skyscraper\" is 54 degrees.<BR>\n" );
document.write( "-The angle of elevation from the roof of the \"nearby building\" to the top of the \"skyscraper\" is 45 degrees.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the solution I have came up with, knowing the angle from the \"nearby building\" to the top of the \"skyscraper\" and considering the other angle is 36. I need to then find the tan(36).\r<BR>\n" );
document.write( "\n" );
document.write( "tan36=75/x<BR>\n" );
document.write( "x= 75/tan36<BR>\n" );
document.write( "x= 103.2<BR>\n" );
document.write( "So the skyscraper would be 103.2 meters tall\r<BR>\n" );
document.write( "\n" );
document.write( "For the \"nearby building\" we would do the same<BR>\n" );
document.write( "tan45=75/x<BR>\n" );
document.write( "x=75/tan45<BR>\n" );
document.write( "x=75<BR>\n" );
document.write( "Then find the difference 103.2-75=28.2<BR>\n" );
document.write( "The nearby building would then be 28.2 meters tall\r<BR>\n" );
document.write( "\n" );
document.write( "I wish I could include the graphic I drew to explain it visually, sorry if I didn't word this well enough to understand. We are also told to round to the 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 #620395 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have a problem here that states. There are two buildings (I will call them \"nearby building\" and \"skyscraper\") and need to find the height of both buildings. <BR>\n" );
document.write( "-What we are told is the distance between them is 75m.<BR>\n" );
document.write( "-The angle of elevation from the base of the \"nearby building\" to the top of the \"skyscraper\" is 54 degrees.<BR>\n" );
document.write( "-The angle of elevation from the roof of the \"nearby building\" to the top of the \"skyscraper\" is 45 degrees.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the solution I have came up with, knowing the angle from the \"nearby building\" to the top of the \"skyscraper\" and considering the other angle is 36. I need to then find the tan(36).\r<BR>\n" );
document.write( "\n" );
document.write( "tan36=75/x<BR>\n" );
document.write( "x= 75/tan36<BR>\n" );
document.write( "x= 103.2<BR>\n" );
document.write( "So the skyscraper would be 103.2 meters tall\r<BR>\n" );
document.write( "\n" );
document.write( "For the \"nearby building\" we would do the same<BR>\n" );
document.write( "tan45=75/x<BR>\n" );
document.write( "x=75/tan45<BR>\n" );
document.write( "x=75<BR>\n" );
document.write( "Then find the difference 103.2-75=28.2<BR>\n" );
document.write( "The nearby building would then be 28.2 meters tall\r<BR>\n" );
document.write( "\n" );
document.write( "I wish I could include the graphic I drew to explain it visually, sorry if I didn't word this well enough to understand. We are also told to round to the nearest tenth.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=MathTherapy&illustration_name=Heights_Buildings\">.<BR>\n" );
document.write( "Height of skyscraper: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+%2A+tan+54%5Eo ALIGN=MIDDLE  ALT=\"75+%2A+tan+54%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 103.2286 m &#8776; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28103.2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28103.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "Difference in heights of both buildings: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+%2A+tan+45%5Eo ALIGN=MIDDLE  ALT=\"75+%2A+tan+45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 75 m<BR>\n" );
document.write( "Height of shorter building: 103.2286 - 75 = 28.2286 &#8776; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2828.2%29 ALIGN=MIDDLE  ALT=\"highlight_green%2828.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > m </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );