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
