Question A 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? Interpret the answer. Aelect the correct answer below: A 38 foot tall tree casts a 23.2 foot shadow. A 23.2 foot tall boy casts a tree casts a 23.2 foot shadow. A 23.2 foot tall tree casts a 38 foot shadow.
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This problem can be solved using the concept of similar triangles, where the height of the objects is proportional to the length of their shadows. Given that the boy is 5.5 feet tall and has a 9-foot shadow, we can set up a proportion: 5.5 feet / 9 feet = height of the tree / 38 feet. Solving this gives us approximately 23.2 feet as the height of the tree. In essence, the tree is approximately 23.2 feet tall, and it casts a longer shadow due to being taller, a wonderful example of how similar triangles work in real life, especially in architecture and nature. So next time you see a tall tree, just remember it's all about proportions and angles in the great outdoors!
