A ladder 5 m long leans against a vertical wall. The bottom of the ladder is 3 m from the wall. If the bottom of the ladder is pulled 1 m farther from the wall, how much does the top of the ladder slide down the wall

Question

A ladder 5 m long leans against a vertical wall. The bottom of the ladder is 3 m from the wall. If the bottom of the ladder is pulled 1 m farther from the wall, how much does the top of the ladder slide down the wall (A) 1 m (B) 4 m (C) 2 m (D) 3 m

Tardigrade Admin · Accepted Answer

Given, the length of a ladder =5m From the first case given, Solution

From the second case given, Solution

⇒ AB=4m textand BD=3m ∴ AD=4-3=1m

Q. A ladder $5 m$ long leans against a vertical wall. The bottom of the ladder is $3 m$ from the wall. If the bottom of the ladder is pulled $1 m$ farther from the wall, how much does the top of the ladder slide down the wall

$1 m$

$4 m$

$2 m$

$3 m$

Given, the length of a ladder $= 5 m$
From the first case given,

From the second case given,

$\Rightarrow A B = 4 m$ $and B D = 3 m$
$∴$ $A D = 4 - 3 = 1 m$

Q. A ladder 5m long leans against a vertical wall. The bottom of the ladder is 3m from the wall. If the bottom of the ladder is pulled 1m farther from the wall, how much does the top of the ladder slide down the wall

1m

4m

2m

3m