How high is a tree that casts a 37-ft shadow at the same time a 7-ft post casts a shadow which is 13ft long?

Question

asked Apr 27, 2024 149k views

1 Answer

Shihab Shahriar Khan · Answer 1 · 2024-05-03T13:52:15+0000

The height of the tree is approximately 19.92 feet.

To find the height of the tree, we can set up a proportion using the lengths of the shadows. Let x represent the height of the tree.

We have the proportion:

(Height of tree) / (Length of tree's shadow) = (Height of post) / (Length of post's shadow)

Substituting the given values, we have:

x / 37 = 7 / 13

Now we can cross-multiply and solve for x:

13x = 259

x = 19.92 feet

Therefore, the height of the tree is approximately 19.92 feet.