document.write( "Question 1196923: A turtle is walking around the perimeter of a fountain, starting at point A as shown. It takes the turtle 22 seconds to walk to point B, which is at angle of 24° from the starting point. At this rate, how much longer will it take for the turtle to reach point C, which is exactly half-way around the perimeter of the fountain? \n" ); document.write( "

Algebra.Com's Answer #829971 by ikleyn(52785) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A turtle is walking around the perimeter of a fountain, starting at point A as shown.
\n" ); document.write( "It takes the turtle 22 seconds to walk to point B, which is at angle of 24°
\n" ); document.write( "from the starting point. At this rate, how much longer will it take for the turtle
\n" ); document.write( "to reach point C, which is exactly half-way around the perimeter of the fountain?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        Hello, when you say \" . . . point C, which is exactly half-way around the perimeter of the fountain? \",\r
\n" ); document.write( "\n" ); document.write( "        it is not a definitive description of point C.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        You should say \" half-way around the perimeter starting from point A or from point B \".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        I will interpret it as if point C is half-way around the perimeter starting from point A.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let T be this additional time for the turtle to get from B to C.\r\n" );
document.write( "\r\n" );
document.write( "The arc BC is 180° - 24° = 156°.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Use the proportion   = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the proportion, find  T =  = 143 seconds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  143 seconds to get from B to C.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Is everything clear to you ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );