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
ding. How long is the ladder?
1 answer:
9514 1404 393
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.
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