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,
[tex]h^{2} =36^{2} +13^{2}[/tex]
or, [tex]h^{2} = 1296+169[/tex]
or, [tex]h^{2} =1465[/tex]
or, [tex]h=\sqrt{1465}[/tex]
or, [tex]h = 38.3[/tex]
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.
