60- foot tall building casts a shadow that’s 21.5 feet long a nearby tree casts a shadow that’s 19 feet long. Which measure is closest to the height of the tree?

60/21.5 = h/19

To determine the height of the tree, we can use similar triangles and the concept of proportions.

Let's set up a proportion using the given information:

Height of the building / Length of the building's shadow = Height of the tree / Length of the tree's shadow

Using the values provided:

60 feet / 21.5 feet = Height of the tree / 19 feet

To find the height of the tree, we can cross-multiply and solve for the unknown height:

(60 feet * 19 feet) / 21.5 feet = Height of the tree

Calculating the expression gives us:

Height of the tree = 53.02 feet (approx.)

Therefore, the height of the tree is closest to 53.02 feet.