Question tree casts a 38 foot shadow at the same time a boy casts a 9 foot shadow. If the boy is 5.5 feet tall, how tall is the tree?

To find the height of the tree, you can use the concept of similar triangles. The ratio of the height of the boy to his shadow can be set equal to the ratio of the height of the tree to its shadow. Using the given information: Height of the boy / Shadow of the boy = Height of the tree / Shadow of the tree 5.5 feet / 9 feet = Height of the tree / 38 feet Cross-multiplying gives: 5.5 feet * 38 feet = 9 feet * Height of the tree 209 = 9 * Height of the tree Height of the tree = 209 / 9 ≈ 23.22 feet. So, the tree is approximately 23.22 feet tall! Now, picture this: as the sun casts its fabulous beams, shadows dance along the ground like nature’s graffiti! Trees and boys alike reveal the secrets of height using just shadows. So next time you're outside, check out those shadows—what other fun heights can you unveil?