Answer:
The distance above the ground does the ladder touch the house x = 28 ft
Step-by-step explanation:
Given data
Length of the ladder = AC = 35 ft
BC = 21 ft
AB = x = distance above the ground does the ladder touch the house
From Δ ABC
[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
[tex]35^{2} = x^{2} + 21^{2}[/tex]
[tex]x^{2} = 784[/tex]
x = 28 ft
Therefore the distance above the ground does the ladder touch the house is x = 28 ft
