Based on the given information, the height of the tree is approximately 1.665 meters.
How to find the height of the tree
To find the height of the tree, use the concept of similar triangles.
Let's denote the height of the tree as h.
We have two similar triangles:
Jai's height and his shadow, and the tree's height and its shadow.
Using the proportions of corresponding sides, we can set up the following equation:
Jai's height / Jai's shadow = Tree's height / Tree's shadow
Plug in the given values:
1.45 m / 34.1 m = h / 39.55 m
To find the height of the tree (h), multiply both sides of the equation by 39.55 m:
(1.45 m / 34.1 m) * 39.55 m = h
Calculate this expression:
h ≈ 1.665 m
Therefore, the height of the tree is approximately 1.665 meters.
Jai is 1.45 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 39.55 meters. He stands 34.1 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter. 39.55 m
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