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## Sagot :

The **height **of the triangle is **8root3 meters.**

We have given that,

A tree **breaks** due to a storm and **the broken** part bends,

So that the top of the** tree touches** the ground making an angle of **60** **degrees **with the ground.

The **distance between **the feet of the tree to the point where the top touches the ground is **16m. **

Let the Height of the Tree =**AB+AD**

and given that **BD=8 m**

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the** remaining part (AD) **will make an angle of **30 degrees.**

Now, in** △ABD**

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the **same triangle**

[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]

### What is the height of the triangle?

Height of the tree=**AB+AD**

[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]

[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]

Therefore** the height** of the triangle is **8root3.**

To learn more about **the height** visit:

https://brainly.com/question/12903285

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