A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches the base of a window 6 m above the ground. Find the length of the ladder.

Correct option is C

Given:

Distance of foot of the ladder from the wall = 2.5 m

Height of the window from the ground = 6 m

We are to find the length of the ladder

Concept Used:
The ladder, wall, and ground form a right-angled triangle, with:

Height = 6 m (vertical side)

Base = 2.5 m (horizontal side)

Hypotenuse = ladder length

Formula Used:
Using the Pythagoras Theorem:

​$$\text{Ladder length}^2 = (\text{height})^2 + (\text{base})^2$$​​

Solution:

​$$\text{Ladder length}^2 = 6^2 + 2.5^2 = 36 + 6.25 = 42.25$$​​

Ladder length = $$\sqrt{42.25}$$​ = 6.5 m