A giraffe is looking down at a bag of peanuts while a boy, sitting on his dad's shoulders, is looking up at the giraffe. The distance from the ground to the giraffe's eye is 12 feet, and the giraffe is 48 feet away from the bag of peanuts. The boy and his dad are 28 feet away from the bag of peanuts. The diagram is illustrated using similar triangles
To illustrate this scenario using similar triangles, we can draw a diagram with the following measurements:
- Ground to the giraffe's eye: 12 feet
- Distance from giraffe to bag of peanuts: 48 feet
- Distance from boy and dad to bag of peanuts: 28 feet
Let's label the following points in our diagram:
- A: Giraffe's eye
- B: Top of giraffe's head
- C: Bag of peanuts
- D: Boy and dad
- E: Ground level
Now, since we have two similar triangles in the diagram (one formed by points A, B, and C and the other formed by points A, D, and E), we can set up a proportion to find the height from the boy and his dad to the giraffe's eye.
Let the height from boy and dad to giraffe's eye be x feet.
Therefore, we can set up the following proportion:
(12 feet) / (48 feet) = x / (28 feet)
Solving for x gives: x = (12/48) * 28 = 7 feet
So, the height from the boy and his dad to the giraffe's eye is 7 feet.