Answer:
The value of length of the ladder = 16714.54 m
Step-by-step explanation:
From the Δ ABC
AB = Height of the wall = 1212 m
AC = Length of the ladder = ( 44 + x ) m
BC = x
From Pytha gores theorem
[tex]AC^{2} = AB^{2} + BC^{2} \\(44 +x)^{2} = 1212^{2} + x^{2} \\1936 + 88 x + x^{2} = x^{2} + 1468944\\88 x = 1468944 - 1936\\x = 16670.54 \ m[/tex]
Length of the ladder = AC = 44 + x
Length of the ladder = AC = 44 + 16670.54 = 16714.54 m
This is the value of length of the ladder.