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stich3 [128]
3 years ago
15

UNA ESCALERA ESTA RECARGADA EN LO ALTO DE UNA PARED DE 4 METROS Y SU BASE DESPEGADA A 3 METROS DE LA PERED ¿CUANTO MIDE LA ESCAL

ERA?
Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

La parte de las escalara desde el piso al borde de la barda es de 5.66 metros.

 

⭐Explicación paso a paso

Para resolver haremos uso de identidades trigonométricas. Nos apoyaremos a su vez en la imagen adjunta, en el cual podemos representar la situación como un triángulo rectángulo.

 

Cateto opuesto: 4 metros

Cateto adyacente: 4 metros

Hipotenusa: longitud de la escalera (l)

 

Por Pitágoras:

l² = 4² + 4²

l² = 16 + 16

l² = 32

l = √32

l = 4√2 m

l = 5.66 metros

Igualmente, puedes consultar el siguiente ejercicio que es similar:

brainly.lat/tarea/257278 (Una escalera de 10 m de longitud  esta  apoyada  sobre  la pared . el pie  de la escalera dista 6 m de la pared . ¿que altura alcanza la escalera sobre la pared?)

Step-by-step explanation:

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