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pav-90 [236]
2 years ago
7

una palmera de 17 metros de altura se encuentra sujeta por dos cables de 21m y 25m respectivamente. En la figura se pide calcula

r la distancia AB.
Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0

La distancia AB es de 30.66m.

<h3>Cómo calcular la distancia AB?</h3>

Para calcular la distancia AB debemos realizar el siguiente procedimiento matemático utilizando el teorema de Pitágoras como se muestra a continuación.

  • a² + b² = c²
  • r² + 17² = 21²
  • r² = 21² – 17²
  • r = 12.33m

De acuerdo a lo anterior, podemos establecer que la base del triángulo de la izquierda mide 12.33m. Ahora debemos calcular la distancia de la base del triángulo de la derecha.

  • a² + b² = c²
  • s² + 17² = 25²
  • s² = 25² – 17²
  • s = 18.33m

De acuerdo a lo anterior, la base del triángulo de la derecha es de 18.33m. Ahora para saber la base total del triángulo que forman ambos cables debemos sumar los valores de la base de los triángulos.

  • 12.33m + 18.33m = 30.66m

Aprenda más sobre sumas en: brainly.com/question/24673650

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