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George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

Respuesta :

Draw a diagram to illustrate problem as shown below.

Let h = the height of the tree.

Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB

That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m

Answer: 5.82 m

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pstnonsonjoku

From the details in the question, the height of the tree is 5.82 m.

What are similar triangles?

Two triangles are said to be similar when the sides of the triangles are in proportion to each other. The image of the question has been attached to this answer.

We can now call the height of the tree h and from the given details in the questions;

h/1.94 =

(5.1 + 10.2)/5.1

= 3

h = 1.94*3

= 5.82 m

Learn more about similar triangles:https://brainly.com/question/25882965?

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