document.write( "Question 561513: Grace is 4 ft. tall and standing in the light of a 20 ft. tall lamppost. her shadow is 8 ft. long. If she moves 1 ft. closer to the lamppost, by how much will her shadow decrease? \n" ); document.write( "
Algebra.Com's Answer #364371 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! using similar triangles ___ 4 / 8 = 20 / (d + 8)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"cross\" multiplying ___ 4d + 32 = 160 ___ d = 32 ___ this is the starting distance from the lamppost\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 / s = 20 / (31 + s) ___ 4s + 124 = 20s ___ 31 / 4 = s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "her shadow decreases 1/4 ft or 3 in \n" ); document.write( " |