document.write( "Question 144075: I have having problems with solving the following. If anyone can provide me with the steps it would be appreciated.\r
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document.write( "The measurement of land area assumes that the land is horizontal. What is the actual area of a 4.38 ha field if it is on a 15% slope. \r
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document.write( "Thanks, much appreciated. \n" );
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Algebra.Com's Answer #104869 by stanbon(75887) ![]() You can put this solution on YOUR website! Assuming the field is a square and has area = 4.58 on the horizontal, \n" ); document.write( "it has a side of sqrt(4.58) = 2.1401.. \n" ); document.write( "------------------------------------------ \n" ); document.write( "The 15% slope has a gradiant of 0.15*90 degrees = 13.5 degrees \n" ); document.write( "---------------------- \n" ); document.write( "The horizontal side projects to a hypotenuse of a right triangle \n" ); document.write( "with an angle of 13.5 degrees adjacent to the 2.1401.. base. \n" ); document.write( "---------------------- \n" ); document.write( "The length of that projected hypotenuse is 2.1401../cos(13.5) \n" ); document.write( "= 2.2009.. \n" ); document.write( "---------------- \n" ); document.write( "Therefore the horizontal square projects to a quadrilateral with area \n" ); document.write( "= 2.2009*2.1401 = 4.71012 ha \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |