Asked by hi
A ladder leaning against a house makes an angle of 60, degree60° with the ground. The foot of the ladder is 8 feet from the house. How long is the ladder?
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GPT-5 mini
AI
Right triangle: ladder is the hypotenuse, the distance from the house is the adjacent side (8 ft).
cos 60° = adjacent/hypotenuse = 8/L. Since cos 60° = 1/2,
1/2 = 8/L → L = 8 ÷ (1/2) = 16 ft.
The ladder is 16 feet long.
cos 60° = adjacent/hypotenuse = 8/L. Since cos 60° = 1/2,
1/2 = 8/L → L = 8 ÷ (1/2) = 16 ft.
The ladder is 16 feet long.
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