document.write( "Question 1152727: The lengths of the hour and minute hands of a clock are 4cm and 6cm respectively. What is the distance, in cm, between the tips of the hands at 2 o-clock. \n" ); document.write( "
Algebra.Com's Answer #774806 by ikleyn(52777)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Coordinates for the tip of the shorter hand at this time are  (\"x%5B1%5D\",\"y%5B1%5D\") = (4*cos(60°),4*sin(60°)) = (\"4%2A%281%2F2%29\",\"4%2A%28sqrt%283%29%2F2%29\") = (\"2\",\"2%2Asqrt%283%29\").\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Coordinates for the tip of the longer hand at this time are (\"x%5B2%5D\",\"y%5B2%5D\") = (0,6).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now apply the formula for the distance between two points in a coordinate plane given by their coordinates\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"d%5E2\" = \"%28x%5B2%5D-x%5B1%5D%29%5E2\" + \"%28y%5B2%5D-y%5B1%5D%29%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In your case,  dx = \"x%5B2%5D-x%5B1%5D\" = -2;  dy = \"y%5B2%5D-y%5B1%5D\" = \"6-2%2Asqrt%283%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore,   \"d%5E2\" = \"%28-2%29%5E2\" + \"%286-2%2Asqrt%283%29%29%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At this point, I leave it to you to complete calculations.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You just have all needed instructions, and the way is clear.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy calculations (!)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );