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 #568579 by TimothyLamb(4379)\"\" \"About 
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adjacent angles of a parallelogram are supplementary:
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\n" ); document.write( "H = 180 - 166
\n" ); document.write( "H = 14
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\n" ); document.write( "find the height (h) of the parallelogram:
\n" ); document.write( "---
\n" ); document.write( "angle of the height with the base:
\n" ); document.write( "A = 90
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\n" ); document.write( "using the law of sines:
\n" ); document.write( "a/sinA = h/sinH
\n" ); document.write( "410/sin(90) = h/sin(14)
\n" ); document.write( "h = sin(14)*410/sin(90)
\n" ); document.write( "h = 99.1879771959
\n" ); document.write( "---
\n" ); document.write( "area = bh
\n" ); document.write( "area = 570*99.1879771959
\n" ); document.write( "area = 56,537 sq.ft.
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