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lesson 12.3 checkpoint 1. a student wanted to find the height \\(h\\) o…

Question

lesson 12.3 checkpoint

  1. 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 height is 5 feet 4 inches. what is the height of the pineapple? remember, 1 foot = 12 inches.

Explanation:

Convert all measurements to inches

Using the Geometric Similarity Applications knowledge point

$$ LATEXBLOCK0 $$

Set up the similarity proportion

Using the Geometric Similarity Applications knowledge point

$$ LATEXBLOCK1 $$

Solve for the height h

Using the Geometric Similarity Applications knowledge point

$$ LATEXBLOCK2 $$

Convert height back to feet and inches

Using the Geometric Similarity Applications knowledge point

$$ LATEXBLOCK3 $$

Answer:

The height of the pineapple statue is 23 feet 4 inches (or 280 inches).