a 28ft ladder leans against a building it reaches the base of a window that is 20 ft high. how far is the base of the ladder from the base of the bulding

Step-by-step explanation:

Use the pythagorean theorem.

a^2 + b^2 = c^2

a = 20ft

c = 28ft

400 + b^2 = 784

b^2 = 384

b = 19.596

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step-by-step explanation:

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let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0