Question

A ladder of 5m length laid against a wall, the distance b/w the foot of the wall and foot of ladder is 3m. find the height at which the ladder touches the wall?​

Answer 1

Answer:  the answer is 4.

Step-by-step explanation:the length of the hypotenuse is 5m.

   the length of the first side is 3m.

let x be the length of the other side.

In trangle ABC,

angleABC=90degree

By pythagoras theroem

$5^{2} =3^{2} +x^{2} \\25=9+x^{2} \\x^{2} =25-9\\ x=\sqrt{16} \\x=4$

Answer 2

The height at which the ladder touches the wall is 4 m.

Step-by-step explanation:

Given that,

Length of ladder= 5 m

Distance of foot and wall = 3 m

We need to calculate the height at which the ladder touches the wall

Using Patagonian theorem

$AB^2=BA^2-BC^2$

$AB=\sqrt{AC^2-BC^2}$

Put the value into the formula

$AB=\sqrt{5^2-3^2}$

$AB=4\ m$

Hence, The height at which the ladder touches the wall is 4 m.

Learn more :

Topic : Patagonian theorem

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