Respuesta :

Answer:

≈ 15 ft

Step-by-step explanation:

There is a right triangle formed by the ground, the building and the ladder.

The ground and the height the ladder is up the wall are the legs and the ladder is the hypotenuse.

let x be the distance from the base of the building to the bottom of the ladder.

Using Pythagoras' identity in the right triangle

x² + 26² = 30²

x² + 676 = 900 ( subtract 676 from both sides )

x² = 224 ( take the square root of both sides )

x = [tex]\sqrt{224}[/tex] ≈ 15 ft ( to the nearest foot )