The equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].
What is Pythagoras theorem?
Pythagoras theorem states that the sum of the square of base and perpendicular of a right angled triangle is equals to the square of hypotenuse.
i.e.
H² = P² + B²
We have,
Height of house = 19.5 ft,
And,
Length of ladder = 20 ft
And,
Distance of foot of ladder from house = x
Now,
Using the Pythagoras theorem,
i.e.
H² = P² + B²
So,
According to the question,
20² = 19.5² + x²
i.e.
[tex]x = \sqrt{ 20^2 - 19.5^2}[/tex]
So,
This is the equation that could be used to find the distance.
Hence, we can say that the equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].
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