Question

"A child who is 4 ft tall casts a shadow that is 12 ft long. She stands next to a sculpture that has a shadow that is 36 ft long. How tall is the sculpture?"

Answer 1

The height of the sculpture is 12 ft.

Step-by-step explanation:

To find the height of the sculpture, we can set up a proportion using the heights and shadows of the child and the sculpture. Let's call the height of the sculpture 'x'. The proportion can be written as:

4 ft / 12 ft = x ft / 36 ft.

To solve for 'x', we can cross multiply and divide:

4 ft * 36 ft = 12 ft * x ft.

144 ft = 12 ft * x ft.

Dividing both sides by 12 ft gives:

x ft = 144 ft / 12 ft = 12 ft.

Therefore, the sculpture is 12 ft tall.