Mr Noonans daughter Kira is 5 feet tall. She casts a shadow that measures 216 feet long at the sme time that a sculture in the park casts a shadow 12 feet long. Which of the following is the approximate height of the sculpture?
518.4 feet long
To find the approximate height of the sculpture, we can set up a proportion using the concept of similar triangles.
Let's denote the height of the sculpture as "x".
According to the problem, Kira's height is 5 feet, and her shadow is 216 feet long. The sculpture's shadow is 12 feet long.
We can set up the following proportion:
Kira's Height / Kira's Shadow = Sculpture's Height / Sculpture's Shadow
Substituting the given values:
5 feet / 216 feet = x / 12 feet
To solve for "x," we can cross-multiply and then divide:
216 feet * x = 5 feet * 12 feet
216x = 60 feet
Dividing both sides by 216:
x = 60 feet / 216
x ≈ 0.278 feet
Therefore, the approximate height of the sculpture is approximately 0.278 feet.