Determine the height of the tree if the height of a person is 175 cm, the length of the shadow of a person
| March 3, 2021 | education
Determine the height of the tree if the height of a person is 175 cm, the length of the shadow of a person is 140 cm and the length of the shadow from the tree is 6 m.
The required unknown tree height is determined using the conditional variable “Y”.
Based on the data of this example and using the property of similarity of triangles, we will form the following proportion: 175 cm refers to 140 cm, as U m refers to 6 m.
Using the data of this proportion, we get the following expression: Y x 140 = 175 x 6.
When we count, we will have the following total Y = 175 x 6/140 = 1050/140 = 7.5 m.
Answer: the height of the tree is 7.5 m.
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