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.