A 3-foot pole casts a shadow of 9 feet. How tall is a tree with a shadow of 12 feet? Let x represent the height of the tree. The proportion is: TREE POLE -------------- = -------------- SHADOW OF TREE SHADOW OF POLE x 3 ---- = --- 12 9 Cross-multiply: UPPER LEFT × LOWER RIGHT = LOWER LEFT × UPPER RIGHT 9x = 36 x = 4 feet That's a very short tree!-- just a sapling! With a tree that short it would have been much easier for them just to have measured the tree than to have measured the pole and the two shadows and then done the above algebra!!! Edwin