Given:
The height of the the tree from where the tree was broken = 13 ft
The distance from the foot of the tree to the broken top = 36 ft
To find the height of the tree.
Formula
By Pythagoras theorem we get,
h² = l²+b²,
where, h be the hypotenuse
b be the base and
l be the other side of the triangle along the right angle.
Now,
Putting, l =13 and b = 36 we get,
![h^(2) =36^(2) +13^(2)](https://img.qammunity.org/2021/formulas/mathematics/college/4x539fkn99oqnca7xf04zn0p66d216vo8d.png)
or,
![h^(2) = 1296+169](https://img.qammunity.org/2021/formulas/mathematics/college/55cbhu69pgvytti67d2jdm5mtc31gjemnz.png)
or,
![h^(2) =1465](https://img.qammunity.org/2021/formulas/mathematics/college/p50h3hay8hf6vg33kytmymkgatra0mcm6d.png)
or,
![h=√(1465)](https://img.qammunity.org/2021/formulas/mathematics/college/axer2tk66mtsvc1pmz859t2v44ervrcooy.png)
or,
![h = 38.3](https://img.qammunity.org/2021/formulas/mathematics/college/8p3yav7m8yh2ptfkyxx03535frxzru7y8v.png)
Therefore,
The height of the tree is about = 13+38.3 ft = 51.3 ft
Hence,
The height of the tree is about 51.3 ft.