9514 1404 393
Answer:
32.5 ft
Explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
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Additional comment
The maximum angle compliant with OSHA safety rules is 75.5°.