Respuesta :

The vertical length will be: 0.85 meters

Step-by-step explanation:

Given

The diagonal length = 1.2m

Angle = 45 degrees

The given scenario forms a right-angled triangle where vertical height is the perpendicular

We will use trigonometric ratios for the purpose.

As we know hypotenuse and angle and we have to find the length of perpendicular so,

[tex]sin\ 45 = \frac{perpendicular}{hypotenuse}\\sin\ 45 = \frac{x}{1.2}\\0.7071 = frac{x}{1.2}\\x = 0.7071*1.2\\x = 0.84852\\Rounding\ off\\x = 0.85m[/tex]

Hence,

The vertical length will be: 0.85 meters

Keywords: Triangle, trigonometric ratios

Learn more about right-angled triangle at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

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