Question

13 m

Answer 1

Answer:

The ladder needs to be placed at 5 m from the wall.

Step-by-step explanation:

Pythagoras's Theorem

Being a and b the legs of a right triangle and c its hypotenuse, then

$c^2=a^2+b^2$

The image shows a ladder of length c=13 m as the hypotenuse of the right triangle formed by the height, the ladder, and the ground.

We are given the height up the wall as a=12 m.

We calculate the distance b solving it from the equation above:

$b^2=c^2-a^2$

Substituting:

$b^2=13^2-12^2$

Operating:

$b^2=169-144$

$b^2=25$

Taking the square root:

$b=\sqrt{25}$

b = 5 m

The ladder needs to be placed at 5 m from the wall.