Two trees are planted next to each other. One tree is 4 meters tall and casts a 16-meter shadow. Determine the height of the other tree if it casts a 29-meter shadow.
1.81 m
3.25 m
7.25 m
12.25 m
In this scenario, we can use the concept of similar triangles to solve for the height of the other tree.
Let's set up a proportion with the height of the first tree, the height of the second tree (which we are trying to find), the shadow of the first tree, and the shadow of the second tree:
Height of first tree / Height of second tree = Shadow of first tree / Shadow of second tree
4 / x = 16 / 29
Cross multiplying, we get:
16x = 4 * 29
16x = 116
x = 116 / 16
x = 7.25 m
Therefore, the height of the second tree is 7.25 meters.
So, the answer is 7.25 m.