Respuesta :

Answer:

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Step-by-step explanation:

Reference angle = θ

Opposite side = 16 (length of the side opposite the reference angle)

Hypotenuse = 44

Apply trigonometric function SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(\theta) = \frac{16}{44} [/tex]

[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)