Question

A ladder rests against a wall. The top of the ladder touches the wall at height 1212 metres. The length of the ladder is 44 metres longer than the distance from the base of the ladder to the wall. Find the length of the ladder.

Answer 1

The value of length of the ladder = 16714.54 m

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

`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`

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.