document.write( "Question 744943: A tree casts a shadow of 30 feet long. At the same time, a vertical rod 21 feet high casts a shadow 9 feet long. How tall is the tree? \n" ); document.write( "
Algebra.Com's Answer #453749 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! This a similar triangle problem. \n" ); document.write( "If you consider the two horizontal \n" ); document.write( "sides (shadows) as a ratio 30/9 \n" ); document.write( "Consider the corresponding vertical sides \n" ); document.write( "x and 21 \r \n" ); document.write( "\n" ); document.write( " 30/9 = x/21 Cross multiply\r \n" ); document.write( "\n" ); document.write( " 9x = 630\r \n" ); document.write( "\n" ); document.write( " x = 70\r \n" ); document.write( "\n" ); document.write( "Therefore the tree is 70 feet high. \n" ); document.write( " |