document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78644>Question 78644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi every one I have this word trigonometry question and I understand I will like a help with this question.\r<BR>\n" );
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document.write( "What is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56399 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=56399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It helps to draw a picture of the situation:<BR>\n" );
document.write( "The 35-ft. mast forms the upright leg of a right triangle while the 20-ft. shadow forms the base of the same right triangle.<BR>\n" );
document.write( "The angle of elevation of the sun is the angle between the base (shadow) and the hypotenuse of this right triangle. Let's call this angle A.<BR>\n" );
document.write( "Now, since you know the length of the side opposite angle A (35 ft.) and the length of the side adjacent to angle A (20 ft.), you can use the Tangent function to find the measure of angle A.<BR>\n" );
document.write( "Recall the acronym:<BR>\n" );
document.write( "SohCahToa (o:opposite side, a:adjacent side, h:hypotenuse)<BR>\n" );
document.write( "Sin = o/h<BR>\n" );
document.write( "Cosine = a/h<BR>\n" );
document.write( "Tangent = o/a<BR>\n" );
document.write( "So, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Tan%28A%29+=+35%2F20 ALIGN=MIDDLE  ALT=\"Tan%28A%29+=+35%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But you really want the angle (A) whose tangent is 35/20, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+Tan%5E%28-1%29%2835%2F20%29 ALIGN=MIDDLE  ALT=\"A+=+Tan%5E%28-1%29%2835%2F20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is known as the Arctangent and you should have this key on your calculator. If not, use INV TAN<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+60.255 ALIGN=MIDDLE  ALT=\"A+=+60.255\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees. </SPAN>\n" );
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