document.write( "Question 256426: Please help with this word problem. An ant is 120 ft. from an 80 ft. tall tree whose top is the visual line of a 600 ft. tall building. How far is the tree from the building? Please explain every step. For example where you get numbers. Thank you so much. \n" ); document.write( "
Algebra.Com's Answer #188614 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Proportionality of Similar Triangles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have two similar triangles. The vertices of the smaller one are the ant, the bottom of the tree, and the top of the tree. The vertices of the larger one are the ant, the bottom of the building, and the top of the building.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We don't know how far it is from the bottom of the tree to the bottom of the building so let's call that \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The distance from the ant to the bottom of the tree is given as 120 ft. The distance from the ant to the bottom of the building is then \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, to recap\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Height of tree: 80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Height of building: 600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ant to tree: 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ant to building: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Create the proportion:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now all you need to do is cross-multiply and solve.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |