document.write( "Question 51077: A 6-foot tall man is standing near a tree on level ground(the shadow of the tree is 18 feet long). If the man's shadow is 4 feet long, how many feet tall is the tree? \n" ); document.write( "
Algebra.Com's Answer #34051 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! A 6-foot tall man is standing near a tree on level ground(the shadow of the\r\n" ); document.write( "tree is 18 feet long). If the man's shadow is 4 feet long, how many feet tall\r\n" ); document.write( "is the tree? \r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "Man's height IS TO Man's shadow AS Tree's height IS TO Tree's shadow\r\n" ); document.write( "\r\n" ); document.write( "Let the tree's height be x. Then we have\r\n" ); document.write( "\r\n" ); document.write( " 6 IS TO 4 AS x IS TO 18\r\n" ); document.write( "\r\n" ); document.write( "Replace the \"IS TO\"'s by \" / \" and the \"AS\" by \" = \"\r\n" ); document.write( "\r\n" ); document.write( " 6/4 = x/18\r\n" ); document.write( "\r\n" ); document.write( "Cross multiply:\r\n" ); document.write( "\r\n" ); document.write( " 4x = 6(18)\r\n" ); document.write( " 4x = 108\r\n" ); document.write( " x = 27 feet\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |