$\"\"$

From the diagram,

The height of the ladder is 24 ft.

The angle that the ladder makes with the ground is $\"\"$ .

The distance from the building to the bottom of the ladder be x ft.

$\"\"$

x is adjacent to $\"\"$ and hypotenuse is $\"\"$ .

$\"\"$ (Definition of cosine ratio)

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Use a calculator to approximate $\"\"$ )

$\"\"$ (Multiply each side by $\"\"$ )

$\"\"$ (Cancel common terms)

$\"\"$ (Multiply: $\"\"$ )

$\"\"$

The distance from the building to the bottom of the ladder x is $\"\"$ ft.