The length of the shadow on the ground from a person with a height of 1.9m is 80 cm

The length of the shadow on the ground from a person with a height of 1.9m is 80 cm, and from a tree is 6m. What is the height of the tree?

Initial data: h (human height) = 1.9 m; l (human shadow length) = 80 cm (0.8 m); L (length of the shadow from the tree) = 6 m.

The height of the tree can be expressed from the ratio: H / h = L / l, whence H = L * h / l.

Let’s make a calculation: H = 6 * 1.9 / 0.8 = 14.25 m.

Answer: The height of the tree is 14.25 m.



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