document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220757>Question 220757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The U.S. Weather Bureau defines a cloud ceiling as the altitude of the lowest clouds that cover more than half the sky.  To determine a cloud ceiling, a powerful searchlight projects a circle of light vertically on the bottom of the cloud.  An observer sights the circle of light in the crosshairs of a tube called a clinometer.  A pendant hanging vertically from the tube and resting on a protractor gives the angle of elevation.  Find the cloud ceiling if the searchlight is located 1000 feet from the observer and the angle of elevation is 30.0° as measured with a clinometer at eye-height 6 feet.  (Assume three significant digits.)  \r<BR>\n" );
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document.write( "Please help solve and explain this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165764 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The U.S. Weather Bureau defines a cloud ceiling as the altitude of the lowest clouds that cover more than half the sky. <BR>\n" );
document.write( "To determine a cloud ceiling, a powerful searchlight projects a circle of light vertically on the bottom of the cloud.<BR>\n" );
document.write( " An observer sights the circle of light in the crosshairs of a tube called a clinometer. <BR>\n" );
document.write( "A pendant hanging vertically from the tube and resting on a protractor gives the angle of elevation. <BR>\n" );
document.write( "Find the cloud ceiling if the searchlight is located 1000 feet from the observer and the angle of elevation is 30.0° as measured with a clinometer at eye-height 6 feet.<BR>\n" );
document.write( " (Assume three significant digits.)<BR>\n" );
document.write( "Please help solve and explain this.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "this is a right triangle, one leg is 1000 ft, the other leg is the elevation you are looking for.<BR>\n" );
document.write( "Use the tangent of 30 degrees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28side+opposite%28h%29%29%2F%28side+adjacent%281000%29%29 ALIGN=MIDDLE  ALT=\"%28side+opposite%28h%29%29%2F%28side+adjacent%281000%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan(30) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2F1000 ALIGN=MIDDLE  ALT=\"h%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 1000(.577345)<BR>\n" );
document.write( "h = 577.350 ft<BR>\n" );
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document.write( "However since this triangle is at eye level (6'), elevation will be<BR>\n" );
document.write( "577.35 + 6 = 583.35 ft </SPAN>\n" );
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