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A) Una escalera que mide 2. 4 m se ha colocado a 0. 7 m de la pared, es recomendable


ubicarla a esta distancia?


Argumenten su respuesta.


Ayuda porfa

Sagot :

No es recomendable colocar una escalera de 2,4 m a una distancia de 0,7 de la pared porque forma un ángulo casi recto  (89°), lo que puede producir que la escalera caiga hacia atrás.

It is not recommended to place a 2.4 m ladder at a distance of 0.7 from the wall because it forms a nearly right angle (89°), which can cause the ladder to fall backwards.

The recommendation for angling the ladder correctly is for the base to be one foot from the wall for every 4 feet of height, because this forms a 75 degree angle.

An easy way to estimate the angle is to put your toes on the bottom of the ladder and extend one arm.

Reasoning

To know the angle that the ladder forms against the wall, you must first know the sides of the triangle that it forms with the wall by applying the formula of the hypotenuse or the Pythagorean theorem:

c2 = a2 + b2

where c is the hypotenuse and a and b the opposite and adjacent legs

if a = 2.4m and b = 0.7m

then

c2 = (2.4)2 + (0.7)2

c2 = 5.76 m2 + 0.49 m2

c2 = 6.25 m2

c = square root 6.25 m2

c = 2.5m

Subsequently, the angle it forms against the wall is calculated.

Angle of the ladder against the wall

Sin b = h/c

where sin b is the angle in front of the wall, h is the height of the wall, and c is the length of the ladder, therefore

Sin b = 2.5/2.4

sin b = 1.04

B = 89°

Learn more about angles https://brainly.com/question/16701917

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