On a sunny day, the length of the shadow from a vertically set meter ruler is 90 cm

On a sunny day, the length of the shadow from a vertically set meter ruler is 90 cm, and from a tree – 6 m. What is the height of the tree?

These tasks: l (length of the vertically set ruler) = 1 m; h (length of the shadow from the ruler) = 90 cm (in SI h = 0.9 m); H (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 L = H * l / h.

Let’s calculate: L = 6 * 1 / 0.9 = 6.67 m.

Answer: The height of the tree is 6.67 m.



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