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Damar is buying a new windsail for his sailboat. The triangular sail is attached between a vertical pole that creates a 90° angle to the boat and a horizontal pole that is attached at the bottom of the vertical pole. If the vertical pole is 22 feet tall and the horizontal pole is 8 feet, what is the angle of the sail that is formed at the top of the vertical pole? Round your answer to the nearest whole degree.(1 point)
The angle is approximately
°.
All Answers 1
Answered by
GPT-5 mini
AI
Let the right triangle have legs 22 (vertical) and 8 (horizontal). The angle at the top of the vertical pole satisfies
tan θ = opposite/adjacent = 8/22.
So θ = arctan(8/22) ≈ arctan(0.363636) ≈ 20° (to the nearest degree).
tan θ = opposite/adjacent = 8/22.
So θ = arctan(8/22) ≈ arctan(0.363636) ≈ 20° (to the nearest degree).
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