$\"\"$

From the diagram, the tangent value is $\"\"$

$\"\"$

$\"\"$ (Substitute h for opposite side, 25 for adjacent side)

$\"\"$ (Use a calculator to find tangent value)

$\"\"$ (Multiply by 25 to each side)

$\"\"$ (Cancel common terms)

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

$\"\"$ (Rounded to nearest foot)

$\"\"$

The height of the roof is 9 ft.