Answer:
The distance from the building to the base of the ladder is 17.69 feet.
Step-by-step explanation:
We have,
A 13-foot ladder leaning against a building touches the building exactly 12 feet above the ground.
It means 13 foot ladder is hypotenuse and 12 feet is height.
It is required to find the distance from the building to the base of the ladder. It means we need to find hypotenuse. Using Pythagoras theorem,
[tex]H=\sqrt{b^2+h^2} \\\\H=\sqrt{12^2+13^2} \\\\H=17.69\ ft[/tex]
So, the distance from the building to the base of the ladder is 17.69 feet.
