Question

An alien is 5 ft tall his shadow is 8 ft long at the same time of the day A Tree Shadow is 32 ft long what is the height of the tree a 20 ft B 24 ft C 29 ft d51 ft

Answer 1

To find the height of the tree using the ratio of heights to shadow lengths, we can set up a proportion.

The known values are:
- Height of the alien = 5 ft
- Length of the alien's shadow = 8 ft
- Length of the tree's shadow = 32 ft
- Height of the tree = h ft (unknown)

Using the proportion:
\[
\frac{\text{Height of alien}}{\text{Shadow of alien}} = \frac{\text{Height of tree}}{\text{Shadow of tree}}
\]

Substituting the known values:
\[
\frac{5}{8} = \frac{h}{32}
\]

Now, we can cross multiply to solve for \( h \):
\[
5 \times 32 = 8 \times h
\]
\[
160 = 8h
\]

Now, divide both sides by 8:
\[
h = \frac{160}{8} = 20
\]

So, the height of the tree is **20 ft**. The correct answer is **A 20 ft**.