hellodarkness14
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A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, which is 3 m from the stick and 30 m from the tree. How tall is the tree?

A stick 2 m long is placed vertically at point B The top of the stick is in line with the top of a tree as seen from point A which is 3 m from the stick and 30 class=

Respuesta :

carlosego

Answer: 20 meters.

Step-by-step explanation:

1. Keeping on mind the information shown in the figure attached and the similarity of both triangles, you can calculate the height of the tree (h) as you can see below:

[tex]\frac{3}{30}=\frac{2}{h}[/tex]

2. Now, you must solve for the height. So, you obtain the following result:

[tex]h=\frac{30*2}{3}\\h=20[/tex]

3. Therefore, the height of the tree is 20 meters.

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