A 5m long ladder when set against the wall of a house reaches a height of 4.8m. How far is the foot of the ladder from the wall?

Given: A 5m long ladder When Set Against The Wall Of A House Reaches A Height Of 4.8m

To do: Find how far is the foot of the ladder from the wall

Solution:

To solve this question, we will use Pythagoras theorem:
$Hypotenuse^2 = Base^2+Height^2$

Here height = 4.8m, Hypotenuse = 5m

We need to find base:

$5^2=Base^2+4.8^2$

$25-23.04=Base^2$

$1.96=Base^2$

$Base=\sqrt{1.96}$

$Base= 1.4$

Therefore, the foot of the ladder from the wall is 1.4m away

$\text{√}5=\sqrt{{Base}^2+{4.8}^2}$√5=sqrt{{ Base }^{2}+{ 4.8}^{2}}

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Updated on: 10-Oct-2022

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