document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121876>Question 1121876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A television camera is 30 ft from the sideline of a basketball court 94ft long. The camera is located 7ft from midcourt. Through what angle must it sweep in order to cover all action on the court?<BR>\n" );
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document.write( "Since you say the camera is 30 feet from the sideline, I assume the \"7 feet from midcourt\" means it is 40 feet from one end of the court and 54 feet from the other end.<br><BR>\n" );
document.write( "Here is a rough picture (not to scale):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C160%2C-50%2C60%2C-40%2C10%2C%0D%0Aline%28-40%2C0%2C54%2C0%29%2Cline%280%2C-30%2C0%2C0%29%2Cline%28-40%2C0%2C-40%2C8%29%2Cline%2854%2C0%2C54%2C8%29%2Cline%28-40%2C0%2C0%2C-30%29%2Cline%2854%2C0%2C0%2C-30%29%2Clocate%280%2C-32%2CC%29%2Clocate%28-40%2C-2%2CA%29%2Clocate%2854%2C-2%2CB%29%2Clocate+%280%2C5%2CO%29%2Clocate%28-20%2C5%2C40%29%2Clocate%2837%2C5%2C54%29%2Clocate%282%2C-12%2C30%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The angle the camera (at C) must sweep to cover all action on the court is angle ACB, which is the sum of angles ACO and BCO.  Angle ACO has a tangent of 40/30; angle BCO has a tangent of 54/30; so the measure of angle ACB is<br><BR>\n" );
document.write( "arctan(40/30)+arctan(54/30)<br><BR>\n" );
document.write( "which is about 114 degrees. </SPAN>\n" );
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