document.write( "Question 1129425: If a tree rising to 120 at the top was struck by lighting causing the upper half to splinter but remain connected to the trunk and the tip of the tree landed 40 feet from the base of the tree. What is the remaining height of the tree? \n" ); document.write( "
Algebra.Com's Answer #746066 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If a tree rising to 120 at the top was struck by lighting causing the upper half to splinter but remain connected to the trunk and the tip of the tree landed 40 feet from the base of the tree. \n" ); document.write( " What is the remaining height of the tree? \n" ); document.write( ": \n" ); document.write( "let x = the remaining height of the tree \n" ); document.write( "then \n" ); document.write( "(120-x) = the length of the portion of the tree going to the ground \n" ); document.write( ": \n" ); document.write( "this forms a right triangle that we can solve \n" ); document.write( " \n" ); document.write( "x^2 + 1600 = 14400 - 240x + x^2 \n" ); document.write( "Subtract x^2 from both side \n" ); document.write( "1600 = 14400 - 240x \n" ); document.write( "240x =14400 - 1600 \n" ); document.write( "240x = 12800 \n" ); document.write( "x = \n" ); document.write( "x = 53 |