3 years ago

52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

9514 1404 393

Answer:

32.5 ft

Step-by-step 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.

_____

<em>Additional comment</em>

The maximum angle compliant with OSHA safety rules is 75.5°.

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