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.