The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
What is Pythagoras theorem?
Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.
Here, length of ladder (Hypotenuse) is 39 ft
distance from building (base) is 31 ft.
By Pythagoras Theorem,
[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]
[tex]39^2 = P^2 + 31^2[/tex]
[tex]P^2 = 39^2 - 31^2[/tex]
[tex]P^2 = (39+31)(39-31)[/tex]
[tex]P^2 = 70 X 8[/tex]
[tex]P = \sqrt{560}[/tex]
P = 23.6 ft ≈ 24 ft.
Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.
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