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A ladder leans against a building forming an angle of 50° with the ground. The base of the ladder is 8 feet from the building. What is the length of the ladder?

Answer :

Answer:

The correct answer is 12.446 feet.

Step-by-step explanation:

A ladder leans against a building forming an angle of 50° with the ground.

The base of the given ladder is 8 feet away from the building.

Let the length of the ladder that is to be found be x feet.

Thus we find the cosine of the angle of inclination.

∴ cos 50° = [tex]\frac{8}{x}[/tex]

⇒ x = 12.446 feet

Therefore the length of the ladder is 12.446 feet.

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