A drawing of a tree and a wall are in the image below.

Mathematics

1 answer:

mina [271]3 years ago

6 0

Answer:

Choice B. 16 feet.

The height of the tree is 16 ft

Step-by-step explanation:

Similar Triangles

Similar triangles have their corresponding side lengths proportional by a fixed scale factor.

We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.

Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.

Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.

Choice B. 16 feet

The height of the tree is 16 ft

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