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
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.