document.write( "Question 1095262: you are standing at c. 8 feet from a silo. A is the center of the circular base of the silo. the distance to point of tangency is 16 feet What is the radius of the silo \n" ); document.write( "

Algebra.Com's Answer #709828 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Radius to the tangent point and the tangent line are perpendicular.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the triangle formed by these three lines\r\n" );
document.write( "\r\n" );
document.write( "    - Radius to the tangent point;\r\n" );
document.write( "    - tangent line,  and\r\n" );
document.write( "    - the line connecting you with the center of the silo\r\n" );
document.write( "\r\n" );
document.write( "is an right-angled triangle.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Apply the Pythagorean theorem\r\n" );
document.write( "\r\n" );
document.write( "    (R+8)^2 = R^2 + 16^2,\r\n" );
document.write( "\r\n" );
document.write( "     R^2 + 16R + 64 = R^2 + 256  ====>  16R = 256-64 = 192  ====>  R =  = 12.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  R = 12 feet.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );