A vertically placed pole 1 m long casts a shadow 0.25 m long. At the same time, the tree casts a shadow
| September 9, 2021 | education
A vertically placed pole 1 m long casts a shadow 0.25 m long. At the same time, the tree casts a shadow 2 m long. What is the height of the tree?
These tasks: l (length of the vertically placed pole) = 1 m; h (the length of the shadow cast by the sixth) = 0.25 m; H (the length of the shadow cast by the tree) = 2 m.
The desired tree height can be expressed from the following equality: L / l = H / h and L = H * l / h.
Let’s perform the calculation: L = 2 * 1 / 0.25 = 8 m.
Answer: The desired tree height is 8 meters.
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