Question

A firefighter’s ladder of length 25 m was kept at a distance of 24 m from a building to reach a window on the

building. At what height is the window from the ground?
Quick plz

Answer 1

Answer:

Answer is 144 hope it helpful to you

Answer 2

Given :

A firefighter’s ladder of length 25 m was kept at a distance of 24 m from a building to reach a window on the building.

To Find :

At what height is the window from the ground?

Solution :

Analysis :

Here we can see that the building and the ladder are in the form of a triangle or rather right angled triangle. So by using the Pythagoras theorem we can find the height.

Explanation :

Let us assume that the height of the window is "h" m.

We know that if we are given the base, the hypotenuse and is asked to find the side then our required formula is,

By Pythagoras theorem,

(Hypo)² = (base)² + (side)²

where,

• Hypo = Hypotenuse = 25 m
• Base = 24 m
• Side = h m

Using the required formula and substituting the required values,

⇒ (Hypo)² = (base)² + (side)²

⇒ (25)² = (24)² + (h)²

After squaring,

⇒ 625 = 576 + h²

Transposing 576 to LHS,

⇒ 625 - 576 = h²

After subtracting,

⇒ 49 = h²

Square rooting both the sides,

⇒ √49 = h

We know that 7 × 7 = 49,

⇒ √7 × 7 = h

⇒ 7 = h

∴ Height = 7 m.

The height of the window is 7 m.

Verification :

⇒ (Hypo)² = (base)² + (side)²

⇒ (25)² = (24)² + (7)²

After squaring,

⇒ 625 = 576 + 49

⇒ 625 = 625

∴ LHS = RHS.

• Hence verified.

(refer to the attachment for more reference)