Mr. Dyer is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady. How long is the ladder?

The height of the ladder is 5 m.

Step by Step Explanation:

We have drawn diagram for your reference.

Given:

Distance of roof from base of the house = 3 m.

According to diagram;

AB = 3 m

Distance of the base of the ladder from the house = 4 m

According to diagram;

BC = 8 ft

We need to find the height of the ladder AC.

Solution:

Let us consider the scenario to be a right angled triangle with right angle at B.

So we will use Pythagoras theorem.

"In a right angle triangle square of sum of 2 sides is equal to square of the third side."

framing in equation form we get;

Substituting the given values we get;

Taking Square root on both side we get;

Hence The height of the ladder is 5 m.