A ladder 25 feet long is leaning against a wall such that it touches a 24 feet high window How far i...........

Quantitative Aptitude (CUET) Height and Distance

A ladder 25 feet long is leaning against a wall such that it touches a 24 feet high window. How far is the foot of the ladder from the wall?

This questions was previously asked in

CUET General Aptitude Test Previous Year Question Paper (2023)

24.5 feet

12 feet

9 feet

7 feet

The given problem forms a right-angled triangle, where:

The ladder acts as the hypotenuse (25 feet).
The height of the window (24 feet) acts as one of the legs of the triangle.
The distance of the foot of the ladder from the wall is the other leg (let's call it x).

Using Pythagoras' Theorem:

Hypotenuse²=Height²+Base²

25²=24²+x²

625=576+x²

x²=625−576

x²=49

x=√49 = 7

Thus, the distance of the foot of the ladder from the wall is 7 feet.

The correct option is (4) 7 feet.

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