DarronY80248 DarronY80248
  • 28-10-2022
  • Mathematics
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Find the value of x in the givenright triangle.107хx = [?]°Enter your answer as a decimal rounded to thenearest tenth.Enter

Find the value of x in the givenright triangle107хx Enter your answer as a decimal rounded to thenearest tenthEnter class=

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MiykaelP263539 MiykaelP263539
  • 28-10-2022

ANSWER:

44.4°

STEP-BY-STEP EXPLANATION:

The value of x can be calculated by means of the trigonometric ratio sine, just like this:

[tex]\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 7} \\ \text{hypotenuse = 10} \\ \theta=x \end{gathered}[/tex]

replacing and solving for x:

[tex]\begin{gathered} \sin x=\frac{7}{10} \\ x=\arcsin (\frac{7}{10}) \\ x=44.4\text{\degree} \end{gathered}[/tex]

The value of x is 44.4°

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