The shadow of a 5-foot tall post is 10 feet long. At the same time a tree casts a shadow that is 24 feet long. What is the height of the tree?

A. 2 feet
B.14 feet
C. 12 feet
D. There is not enough information to solve the problem

the heights are in the same ratio as the shadows, so

h/5 = 24/10
h = 12

To solve this problem, we can use the concept of similar triangles. Similar triangles have proportional sides, meaning the ratios of corresponding sides are equal.

Let's denote the height of the tree as h.

According to the given information, the shadow of the 5-foot tall post is 10 feet long, and the shadow of the tree is 24 feet long.

We can set up a proportion using the heights and the shadows:

5/10 = h/24

To solve for h, we cross-multiply and solve for h:

5 * 24 = 10h

120 = 10h

Dividing both sides of the equation by 10, we find:

h = 120/10

h = 12

Therefore, the height of the tree is 12 feet.

Therefore, the correct answer is C. 12 feet.