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?

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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