A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil

Question

2 years ago

9

ding. How long is the ladder?

1 answer:

tatiyna · Answer 1 · 2022-05-24T21:58:24+03:00

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Answer:

24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

Cos = Adjacent/Hypotenuse

hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.