document.write( "Question 935359: Two sides of a parallelogram are 570 feet and 410 feet. The measure of the angle between these sides is 166 degrees. Find the area of the parallelogram to the nearest square foot. \n" ); document.write( "
Algebra.Com's Answer #568576 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Two sides of a parallelogram are 570 feet and 410 feet. The measure of the angle between these sides is 166 degrees. Find the area of the parallelogram to the nearest square foot.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The given angle (upper left) is 166° and since two \r\n" );
document.write( "adjacent angles of any parallelogram are supplementary\r\n" );
document.write( "the angle at the lower left is 180°-166° = 14°\r\n" );
document.write( "\r\n" );
document.write( "To find the area of the parallelogram, we need to find\r\n" );
document.write( "it's height.  So we draw in the green line for the height\r\n" );
document.write( "and label it h:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then \r\n" );
document.write( "\r\n" );
document.write( "\"sin%28%2214%B0%22%29=OPPOSITE%2FHYPOTENUSE\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28%2214%B0%22%29=h%2F410\"\r\n" );
document.write( "\r\n" );
document.write( "Put a 1 under the sine\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28%2214%B0%22%29%2F1=h%2F410\"\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"h=410sin%28%2214%B0%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"h=99.1879772\" feet.\r\n" );
document.write( "\r\n" );
document.write( "Area of the parallelogram = base × height\r\n" );
document.write( "\r\n" );
document.write( "                          = 570 ft × 99.1879772 ft.\r\n" );
document.write( "\r\n" );
document.write( "                          = 56537.147 square feet\r\n" );
document.write( "\r\n" );
document.write( "                          = 56537 square feet to the nearest square foot.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );