Respuesta :

Answer:

42.5°

Step-by-step explanation:

Reference angle = θ

Side opposite to θ = 2.7

Hypotenuse = 4

Applying trigonometric ratio, we have:

[tex] sin (\theta) = \frac{opp}{hyp} = \frac{2.7}{4} [/tex]

[tex] sin (\theta) = 0.675 [/tex]

[tex] \theta = sin^{-1}(0.675) [/tex]

[tex] \theta = 42.4541502 [/tex]

θ = 42.5° (nearest tenth)