document.write( "Question 246892: Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the ground. What is the height of the tree? \n" ); document.write( "
Algebra.Com's Answer #180204 by stanbon(75887) ![]() You can put this solution on YOUR website! Jacob places a 2m rod 24m from a tree. He finds that he can align the top of the rod with the top of the tree when he stands 1.9m from the rod. Jacob's eyes are 1.6m above the ground. What is the height of the tree? \n" ); document.write( "---------------- \n" ); document.write( "Draw the picture. \n" ); document.write( "Your picture may be different than mine \n" ); document.write( "so your proportion may look different. \n" ); document.write( "Proportion: \n" ); document.write( "(t-1.6)/(24+1.9) = (2-1.6)/1.9 \n" ); document.write( "--- \n" ); document.write( "Cross-multiply \n" ); document.write( "1.9t - 3.04 = 0.4*25.9 \n" ); document.write( "1.9t = 13.4 \n" ); document.write( "tree = 7.05 meters (height of the tree) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |