Question

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

Answer 1

To determine the height of the second tree based on the information given about the first tree, we can use the ratio of the height of the tree to the length of its shadow.

For the first tree:
- Height = 4 meters
- Shadow length = 16 meters

We can set up the ratio for the first tree:

\[
\frac{\text{Height of first tree}}{\text{Shadow of first tree}} = \frac{4 \, \text{meters}}{16 \, \text{meters}} = \frac{1}{4}
\]

Now let's denote the height of the second tree as \( h \) meters, and we know its shadow length is 29 meters. We can set up a proportion based on the same ratio:

\[
\frac{h}{29} = \frac{1}{4}
\]

Now, we can solve for \( h \):

\[
h = 29 \times \frac{1}{4}
\]

Calculating that gives:

\[
h = \frac{29}{4} = 7.25 \, \text{meters}
\]

Thus, the height of the second tree is **7.25 meters**.