Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:
[tex]\frac{h}{64} = \frac{105}{24}[/tex]
Applying cross multiplication:
24h = 64 x 105
h = 64 x 105/24
h = 280
The height of the pineapple is of 280 inches = 23 ft 4 in.
More can be learned about proportions at https://brainly.com/question/24372153