Question

What is the height of the tree?

Answer 1

Answer: 12 ft

Explanation:

Answer 2

`\huge\boxed{12 \ \text{ft}}`

Explanation:

We can see that the yard stick and the tree are forming triangles with the ground.

We also given that these are similar figures. Therefore, the ratio between both their corresponding sides will be the same for every side.

AKA:

Since the yardstick has a 6ft leg, but the tree has a 24ft leg, the tree will be equally proportional to the yardstick.

What's the scale factor that we use to get from the yardstick to the tree?

We have 24 to 6.

`24 / 6 = 4`

So the scale factor is 4.

Therefore, if we multiply the yardstick height by 4, we will get the height of the tree.

`3 \cdot 4 = 12`

So the tree is 12 feet tall.

Hope this helped!