document.write( "Question 160063: Matt is 1.59 m tall and wants to find the height of a tree. He walks 21.80 m from the base of the tree along the shadow until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. He is now 5.99 m from the end of the shadows. How tall is the tree? Round to nearest hundredth. The answer should be 7.38m but I have no idea how to reach that answer. I am assuming I should set up a proportion but I am not sure. Can you help? \n" ); document.write( "
Algebra.Com's Answer #118059 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! Matt, the tree, and the shadows form similar triangles (you're right about the proportion)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Matt/Matt's shadow=tree/tree's shadow __ 1.59/5.99=t/(21.80+5.99)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.59 * 27.79 / 5.99 = t \n" ); document.write( " |