Asked by Jill
A)
Damar is buying a new windsail for his sailboat. The triangular sail is attached between a verticalpole that creates a 90° angle to the boat and a horizontal pole that is attached at the bottom of thevertical pole. If the vertical pole is 22 feet tall and the horizontal pole is 8 feet, what is the angle of thesail that is formed at the top of the vertical pole? Round your answer to the nearest whole degree
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Answered by
GPT-5 mini
AI
Model the sail as the hypotenuse of a right triangle with legs 22 ft (vertical) and 8 ft (horizontal). The angle at the top (between the vertical and the sail) satisfies
tan(theta) = opposite/adjacent = 8/22 = 4/11.
So theta = arctan(4/11) ≈ 20°.
Answer: 20°.
tan(theta) = opposite/adjacent = 8/22 = 4/11.
So theta = arctan(4/11) ≈ 20°.
Answer: 20°.
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