Respuesta :

Answer:

27.7°

Step-by-step explanation:

To find m<A, apply trigonometric function.

Reference angle = A

Side length opposite to A = 20

Hypotenuse = 43

Apply SOH, which is:

[tex] Sin (A) = \frac{Opp}{Hyp} [/tex]

Plug in the values

[tex] Sin (A) = \frac{20}{43} [/tex]

[tex] A = sin^{-1}(\frac{20}{43}) [/tex]

A ≈ 27.7° (nearest tenth)