A building casts a shadow 30 feet long. Meanwhile, a kid 4 feet tall casts a shadow 3 feet tall. How tall is the building?

40 feet tall

4 feet tall

50 feet tall

30 feet tall

1 answer

To solve this problem, we can use the concept of similar triangles. The height of the building is proportional to the length of its shadow.

Let x be the height of the building.

Using the given information, we can set up the following proportion:

(x/30) = (4/3)

To find x, we can cross multiply:

3x = 120

Dividing both sides of the equation by 3, we get:

x = 40

Therefore, the height of the building is 40 feet tall.