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Guadalupe is 1.75 meters tall. At 10 a.m., she measures the length of a tree's shadow to be 18.25 meters. She stands 12.8 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.



Answer :

The height of the tree to the nearest hundredth of a meter is 2.5

How to find the height of the tree

The height of the tree is calculated form the ratio of the proportions of Guadalupe's height and shadow to the ratio of the tree's height and shadow

this is written mathematically as

Guadalupe's height / Guadalupe's shadow = tree's height / tree's shadow

substituting the values and solving

1.75 / 12.8 = tree's height / 18.25

cross multiplying

12.8 * tree's height = 1. 75 * 18.25

tree's height = 31.9375 / 12.8

tree's height = 2.495

tree's height ≈ 2.5 m

the tree is about 2.5 meters tall

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