document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198352>Question 1198352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of the hill are 30.2° and 22.5°,<BR>\n" );
document.write( "respectively. If the distance between A and B is 75.0m, what is the height of the hill? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831936 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=831936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "This is what the diagram would look like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/nvwNoNl.png\"><BR>\n" );
document.write( "Point C is the base of the hill, and D is the top of the hill. <BR>\n" );
document.write( "Point E is to help set up the angles of depression (angle EDA = 22.5° in red; angle EDB = 30.2° in blue)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "An angle of depression is where you start facing directly horizontal. Then you aim downward that amount of degrees to face the object.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Segments AC and ED are parallel as they are horizontal lines.<BR>\n" );
document.write( "Using the alternate interior angle theorem, we have these two facts:<ul><li>angle EDA = angle DAC = 22.5 degrees (red)</li><li>angle EDB = angle DBC = 30.2 degrees (blue)</li></ul>This is an equivalent diagram where this time we're focusing on angles of elevation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/6emPWNr.png\"><BR>\n" );
document.write( "The reason why I'm doing this is to then bring your attention to these similar problems in the links below:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.algebra.com/algebra/homework/Vectors/Vectors.faq.question.1198061.html\">https://www.algebra.com/algebra/homework/Vectors/Vectors.faq.question.1198061.html</a><BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1198040.html\">https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.1198040.html</a><BR>\n" );
document.write( "In those links I've used angles of elevation, and the distance between observation points, to determine the height of the tall object.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This hint should be a good enough start to get you going. <BR>\n" );
document.write( "If you're still stuck, then please let me know.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );