The first thing we are going to assume for this case is that the tree and the post are located in the same place. From that place, both cast a shadow in the same direction. We then have two similar triangles. Therefore, we have the following relationship: [tex] \frac{x}{48} = \frac{5}{8} [/tex] From here, we clear the value of x. We have then: [tex]x = \frac{5}{8} *48[/tex] Rewriting: [tex]x=30[/tex] Answer: the tree is 30 feet tall
