2. A student wanted to find the height h of a statue of a pineapple
in Nambour, Australia. She measured the pineapple's shadow
and her own shadow. The student's height is 5 feet 4 inches.
What is the height of the pineapple?

2 A student wanted to find the height h of a statue of a pineapple in Nambour Australia She measured the pineapples shadow and her own shadow The students heigh class=

Respuesta :

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