Nicolas places his 30 ft ladder against his house he is painting. if the foot of the ladder is 8 ft from the base of the house, how high above the ground is the top of the ladder touching the house. nearest tenth. pythagorean’s theorem

28.9'

Step-by-step explanation:

Using the Pythagorean Theorem:

Let a = 8' base

Let b = x

Let c = 30' ladder

a^2 X b^2 = c^2

(8)^2 X (x)^2 = (30)^2

64 X (x)^2 = 900  (Subtract 64 from both sides of the equation)

x^2 = 836

x = 28.9'

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