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. W

Question

3 years ago

12

hat is the length of the ladder?

1 answer:

Aleksandr-060686 [28] · Answer 1 · 2022-09-03T09:50:37+03:00

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° = $\frac{8}{x}$

⇒ x = 12.446 feet

Therefore the length of the ladder is 12.446 feet.