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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

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

Respuesta :

The height of the pineapple is 23feet 1 inch

By similar shapes theorem,

[tex]\frac{2}{8.9}=\frac{5.2}{h\text{ }}\text{ where h= height of the pineapple}[/tex][tex]\begin{gathered} \text{Cross multiply to get,} \\ 2h=8.9\times5.2 \\ h=\frac{8.9\times5.2}{2} \\ h=23.14\approx23feet1\text{ inch} \end{gathered}[/tex]

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