Question

2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

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Answer to a math question 2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?

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Dexter

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STEP BY STEP SOLUTION: Let's denote: - h as the height of the piscucha above the ground at a given moment, - d as the distance between Juan's hand and the point directly below the piscucha (which is 58 meters since he has released 58 meters of the thread), - a as the angle of elevation (50° in this case). The relationship between the height h, the distance d, and the angle of elevation a can be represented by the sin function: \[ \sin(a) = \frac{h}{d} \] In this scenario: \[ \sin(50°) = \frac{h}{58 \, \text{m}} \] Now, solve for h: \[ h = 58 \, \text{m} \times \sin(50°) \] Using a calculator: \[ h = 44.43 \, \text{meters} \] ANSWER: Therefore, at the moment Juan has released 58 meters of the thread, the piscucha is $ 44.43 \, \text{meters} + 1.68 \, \text{meters} = 46.11 \, \text{meters} $ above the ground.

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