A tree is 12 feet tall and casts a shadow that is 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? Draw a picture proportional

32 h/24 = 12/9

Wth is the answer for this

What would it be if the shadow was 21 feet long?

To find the height of the building, we can set up a proportion between the tree and the building based on their respective shadows.

Let's assign variables:
Height of the tree = T
Length of the tree's shadow = S1
Height of the building = B
Length of the building's shadow = S2

We know that the tree's height is 12 feet and its shadow length is 9 feet:
T = 12
S1 = 9

We need to find the height of the building (B), given that its shadow length (S2) is 24 feet.

Now, we can set up a proportion:

(T / S1) = (B / S2)

Substituting the known values:
(12 / 9) = (B / 24)

To solve for B, we cross-multiply:

12 * 24 = 9 * B

288 = 9B

Now, divide both sides by 9:

288 / 9 = B

B = 32

Therefore, the height of the building is 32 feet.

Here is a proportional drawing to help visualize the situation:

|\
| \
T | \ B
----- | \
S1 | \ -----
| \
| \
| \
| \
|---------\
S2