Respuesta :

940172

Answer:

<B=41.81

Step-by-step explanation:

Use Trigonometry Sine

Sinθ=2/3

Sinθ⁻¹*Sinθ=(2/3)*Sinθ⁻¹

Sinθ=41.81

Ver imagen 940172
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Answer:

41.81°

Given a right angle triangle.

Solve the missing angle using sine rule.

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

Here given:

  • opposite: 2
  • hypotenuse: 3
  • angle, ∠B: x

Solve:

[tex]\rightarrow \sf sin(x) = \dfrac{2}{3}[/tex]

[tex]\rightarrow \sf x= sin^{-1}(\dfrac{2}{3})[/tex]

[tex]\rightarrow \sf x=41.81^{\circ}[/tex]

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