Question

A student wanted to find the heighth 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 2 inches. What is the height of the pineapple? Round to the nearest tenth if necessary. 2 2 ft C E 8 ft 9 in

Answer 1

The height of the pineapple is 23feet 1 inch

By similar shapes theorem,

`(2)/(8.9)=\frac{5.2}{h\text{ }}\text{ where h= height of the pineapple}`
`\begin{gathered} \text{Cross multiply to get,} \\ 2h=8.9*5.2 \\ h=(8.9*5.2)/(2) \\ h=23.14\approx23feet1\text{ inch} \end{gathered}`