A ladder 25cm long reaches a window of a building 20m above the ground . Determine the distance of the foot of ladder from the building.

Given:

Length of ladder = 25 m

The ladder reaches a window of a building 20 m above the ground.

To find: Distance of the foot of ladder from the building

In the given figure:

Length of Ladder AB = 20 m

Height of the window BC = 25 m

We need to find AC

We can see that a right angled triangle ABC is formed.

We know,

Hypotenuse $^{2}=$ Perpendicular $^{2}+$ Base $^{2}$

$A C^{2}=A B^{2}+B C^{2}$

$25^{2}=20^{2}+B C^{2}$

$\sqrt{25^{2}-20^{2}}=B C$

$15=B C$

Hence the distance of the foot of the ladder from the building is $15 \mathrm{m}$

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Updated on: 10-Oct-2022

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