Respuesta :

The value of Θ is 40.32°

Step-by-step explanation:

We can see that the given triangle is a right triangle.

According to Θ, the perpendicular is the side opposite to theeta

So,

P = 11

and

H = 17

Now using the trignometric ratio for theeta containing perpendicular and hypotenuse

Let

Θ = x

[tex]sin\ x=\frac{P}{H}\\Putting\ the\ values\\sin\ x=\frac{11}{17}\\sin\ x=0.6470\\x=sin^{-1}\ (0.6470)\\x= 40.3157\\Rounding\ off\\x=40.32[/tex]

The value of Θ is 40.32°

Keywords: Trignometric Ratios, Triangle

Learn more about right-angled triangle at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

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